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97881036 = 223111753823
BaseRepresentation
bin1011101010110…
…00101111001100
320211011212112120
411311120233030
5200024143121
613413532540
72265655311
oct565305714
9224155476
1097881036
1150284520
1228944150
1317381196
14cddcd08
1588d6bc6
hex5d58bcc

97881036 has 96 divisors (see below), whose sum is σ = 269111808. Its totient is φ = 27356160.

The previous prime is 97881013. The next prime is 97881071. The reversal of 97881036 is 63018879.

97881036 is a nontrivial binomial coefficient, being equal to C(13992, 2).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118521 + ... + 119343.

It is an arithmetic number, because the mean of its divisors is an integer number (2803248).

Almost surely, 297881036 is an apocalyptic number.

97881036 is the 13991-st triangular number and also the 6996-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97881036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134555904).

97881036 is an abundant number, since it is smaller than the sum of its proper divisors (171230772).

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

97881036 is a wasteful number, since it uses less digits than its factorization.

97881036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 97881036 is about 9893.4845226543. The cubic root of 97881036 is about 460.8569972236.

The spelling of 97881036 in words is "ninety-seven million, eight hundred eighty-one thousand, thirty-six".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 53 66 68 102 106 132 159 187 204 212 318 374 561 583 636 748 823 901 1122 1166 1646 1749 1802 2244 2332 2469 2703 3292 3498 3604 4938 5406 6996 9053 9876 9911 10812 13991 18106 19822 27159 27982 29733 36212 39644 41973 43619 54318 55964 59466 83946 87238 108636 118932 130857 153901 167892 174476 261714 307802 461703 479809 523428 615604 741523 923406 959618 1439427 1483046 1846812 1919236 2224569 2878854 2966092 4449138 5757708 8156753 8898276 16313506 24470259 32627012 48940518 97881036