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96729516 = 22321331223
BaseRepresentation
bin1011100001111…
…11100110101100
320202000100221200
411300333212230
5144230321031
613333125500
72253121152
oct560774654
9222010850
1096729516
114a668354
1228489890
131706a000
14cbbd3d2
15875a8e6
hex5c3f9ac

96729516 has 72 divisors (see below), whose sum is σ = 265093920. Its totient is φ = 29738592.

The previous prime is 96729511. The next prime is 96729527. The reversal of 96729516 is 61592769.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (96729511) 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, 78481 + ... + 79703.

It is an arithmetic number, because the mean of its divisors is an integer number (3681860).

Almost surely, 296729516 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 96729516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132546960).

96729516 is an abundant number, since it is smaller than the sum of its proper divisors (168364404).

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

96729516 is a wasteful number, since it uses less digits than its factorization.

96729516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1272 (or 1241 counting only the distinct ones).

The product of its digits is 204120, while the sum is 45.

The square root of 96729516 is about 9835.1164710948. The cubic root of 96729516 is about 459.0426149791.

The spelling of 96729516 in words is "ninety-six million, seven hundred twenty-nine thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 676 1014 1223 1521 2028 2197 2446 3042 3669 4394 4892 6084 6591 7338 8788 11007 13182 14676 15899 19773 22014 26364 31798 39546 44028 47697 63596 79092 95394 143091 190788 206687 286182 413374 572364 620061 826748 1240122 1860183 2480244 2686931 3720366 5373862 7440732 8060793 10747724 16121586 24182379 32243172 48364758 96729516