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1097130672 = 2432113122343
BaseRepresentation
bin100000101100100…
…1110001010110000
32211110110000100100
41001121032022300
54221331140142
6300511152400
736121312461
oct10131161260
92743400310
101097130672
11513335570
12267515700
131463b7961
14a59d2d68
15664bab4c
hex4164e2b0

1097130672 has 120 divisors (see below), whose sum is σ = 3457778688. Its totient is φ = 321724800.

The previous prime is 1097130653. The next prime is 1097130677. The reversal of 1097130672 is 2760317901.

It is a happy number.

It is a super-2 number, since 2×10971306722 = 2407391422886343168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1097130677) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37933 + ... + 60275.

Almost surely, 21097130672 is an apocalyptic number.

1097130672 is a gapful number since it is divisible by the number (12) 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 1097130672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1728889344).

1097130672 is an abundant number, since it is smaller than the sum of its proper divisors (2360648016).

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

1097130672 is a wasteful number, since it uses less digits than its factorization.

1097130672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22399 (or 22390 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 1097130672 is about 33122.9629109474. The cubic root of 1097130672 is about 1031.3817732219.

It can be divided in two parts, 1097 and 130672, that added together give a square (131769 = 3632).

The spelling of 1097130672 in words is "one billion, ninety-seven million, one hundred thirty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 31 33 36 44 48 62 66 72 88 93 99 124 132 144 176 186 198 248 264 279 341 372 396 496 528 558 682 744 792 1023 1116 1364 1488 1584 2046 2232 2728 3069 4092 4464 5456 6138 8184 12276 16368 22343 24552 44686 49104 67029 89372 134058 178744 201087 245773 268116 357488 402174 491546 536232 692633 737319 804348 983092 1072464 1385266 1474638 1608696 1966184 2077899 2211957 2770532 2949276 3217392 3932368 4155798 4423914 5541064 5898552 6233697 7618963 8311596 8847828 11082128 11797104 12467394 15237926 16623192 17695656 22856889 24934788 30475852 33246384 35391312 45713778 49869576 60951704 68570667 91427556 99739152 121903408 137141334 182855112 274282668 365710224 548565336 1097130672