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2079371088 = 24344139133
BaseRepresentation
bin111101111110000…
…1010111101010000
312100220200222220000
41323330022331100
513224304333323
6542200050000
7102346235244
oct17374127520
95326628800
102079371088
11977829303
124a0463900
13271a473c2
1415a23a424
15c283ee43
hex7bf0af50

2079371088 has 100 divisors (see below), whose sum is σ = 6165248628. Its totient is φ = 676200960.

The previous prime is 2079371069. The next prime is 2079371089. The reversal of 2079371088 is 8801739702.

It can be written as a sum of positive squares in 2 ways, for example, as 1080305424 + 999065664 = 32868^2 + 31608^2 .

It is a super-2 number, since 2×20793710882 = 8647568243220607488, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2079371089) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 33570 + ... + 72702.

Almost surely, 22079371088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2079371088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3082624314).

2079371088 is an abundant number, since it is smaller than the sum of its proper divisors (4085877540).

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

2079371088 is a wasteful number, since it uses less digits than its factorization.

2079371088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39194 (or 39179 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 2079371088 is about 45600.1215787853. The cubic root of 2079371088 is about 1276.3721918818.

The spelling of 2079371088 in words is "two billion, seventy-nine million, three hundred seventy-one thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 41 48 54 72 81 82 108 123 144 162 164 216 246 324 328 369 432 492 648 656 738 984 1107 1296 1476 1968 2214 2952 3321 4428 5904 6642 8856 13284 17712 26568 39133 53136 78266 117399 156532 234798 313064 352197 469596 626128 704394 939192 1056591 1408788 1604453 1878384 2113182 2817576 3169773 3208906 4226364 4813359 5635152 6339546 6417812 8452728 9626718 12679092 12835624 14440077 16905456 19253436 25358184 25671248 28880154 38506872 43320231 50716368 57760308 77013744 86640462 115520616 129960693 173280924 231041232 259921386 346561848 519842772 693123696 1039685544 2079371088