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2097596088 = 23347479839
BaseRepresentation
bin111110100000110…
…1100011010111000
312102011222220220000
41331001230122320
513243441033323
6544050433000
7102660162330
oct17501543270
95364886800
102097596088
11987046a95
124a6592760
13275758923
1415c8220c0
15c423ee43
hex7d06c6b8

2097596088 has 160 divisors (see below), whose sum is σ = 6858086400. Its totient is φ = 586502208.

The previous prime is 2097596087. The next prime is 2097596101. The reversal of 2097596088 is 8806957902.

It is a happy number.

2097596088 is a `hidden beast` number, since 20 + 9 + 7 + 5 + 9 + 608 + 8 = 666.

2097596088 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2097596087) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 208273 + ... + 218111.

It is an arithmetic number, because the mean of its divisors is an integer number (42863040).

Almost surely, 22097596088 is an apocalyptic number.

2097596088 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2097596088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3429043200).

2097596088 is an abundant number, since it is smaller than the sum of its proper divisors (4760490312).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2097596088 is a wasteful number, since it uses less digits than its factorization.

2097596088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9911 (or 9898 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The square root of 2097596088 is about 45799.5206088448. The cubic root of 2097596088 is about 1280.0903435582.

The spelling of 2097596088 in words is "two billion, ninety-seven million, five hundred ninety-six thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 47 54 56 63 72 81 84 94 108 126 141 162 168 188 189 216 252 282 324 329 376 378 423 504 564 567 648 658 756 846 987 1128 1134 1269 1316 1512 1692 1974 2268 2538 2632 2961 3384 3807 3948 4536 5076 5922 7614 7896 8883 9839 10152 11844 15228 17766 19678 23688 26649 29517 30456 35532 39356 53298 59034 68873 71064 78712 88551 106596 118068 137746 177102 206619 213192 236136 265653 275492 354204 413238 462433 531306 550984 619857 708408 796959 826476 924866 1062612 1239714 1387299 1593918 1652952 1849732 1859571 2125224 2479428 2774598 3187836 3237031 3699464 3719142 4161897 4958856 5549196 5578713 6375672 6474062 7438284 8323794 9711093 11098392 11157426 12485691 12948124 14876568 16647588 19422186 22314852 24971382 25896248 29133279 33295176 37457073 38844372 44629704 49942764 58266558 74914146 77688744 87399837 99885528 116533116 149828292 174799674 233066232 262199511 299656584 349599348 524399022 699198696 1048798044 2097596088