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96931640 = 2351331103
BaseRepresentation
bin1011100011100…
…00111100111000
320202101122012202
411301300330320
5144303303030
613341325332
72254622351
oct561607470
9222348182
1096931640
114a7961a3
1228566848
131710b000
14cc32d28
15879a745
hex5c70f38

96931640 has 64 divisors (see below), whose sum is σ = 236476800. Its totient is φ = 35757696.

The previous prime is 96931567. The next prime is 96931649. The reversal of 96931640 is 4613969.

It is a junction number, because it is equal to n+sod(n) for n = 96931594 and 96931603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96931649) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87329 + ... + 88431.

It is an arithmetic number, because the mean of its divisors is an integer number (3694950).

Almost surely, 296931640 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 96931640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118238400).

96931640 is an abundant number, since it is smaller than the sum of its proper divisors (139545160).

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

96931640 is a wasteful number, since it uses less digits than its factorization.

96931640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1153 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 38.

The square root of 96931640 is about 9845.3867369444. The cubic root of 96931640 is about 459.3621278575.

The spelling of 96931640 in words is "ninety-six million, nine hundred thirty-one thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 169 260 338 520 676 845 1103 1352 1690 2197 2206 3380 4394 4412 5515 6760 8788 8824 10985 11030 14339 17576 21970 22060 28678 43940 44120 57356 71695 87880 114712 143390 186407 286780 372814 573560 745628 932035 1491256 1864070 2423291 3728140 4846582 7456280 9693164 12116455 19386328 24232910 48465820 96931640