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96138315 = 325713171381
BaseRepresentation
bin1011011101011…
…11010001001011
320200220022222100
411232233101023
5144102411230
613312324443
72245106430
oct556572113
9220808870
1096138315
114a2a4159
1228243723
1316bc0ba0
14caa7b87
158690660
hex5baf44b

96138315 has 96 divisors (see below), whose sum is σ = 217316736. Its totient is φ = 38154240.

The previous prime is 96138311. The next prime is 96138337. The reversal of 96138315 is 51383169.

It is a happy number.

96138315 is a `hidden beast` number, since 9 + 613 + 8 + 31 + 5 = 666.

It is not a de Polignac number, because 96138315 - 22 = 96138311 is a prime.

It is a super-2 number, since 2×961383152 = 18485151222078450, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 96138315.

It is not an unprimeable number, because it can be changed into a prime (96138311) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 68925 + ... + 70305.

It is an arithmetic number, because the mean of its divisors is an integer number (2263716).

Almost surely, 296138315 is an apocalyptic number.

96138315 is an abundant number, since it is smaller than the sum of its proper divisors (121178421).

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

96138315 is a wasteful number, since it uses less digits than its factorization.

96138315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1429 (or 1426 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The square root of 96138315 is about 9805.0147883621. The cubic root of 96138315 is about 458.1054958701.

The spelling of 96138315 in words is "ninety-six million, one hundred thirty-eight thousand, three hundred fifteen".

Divisors: 1 3 5 7 9 13 15 17 21 35 39 45 51 63 65 85 91 105 117 119 153 195 221 255 273 315 357 455 585 595 663 765 819 1071 1105 1365 1381 1547 1785 1989 3315 4095 4143 4641 5355 6905 7735 9667 9945 12429 13923 17953 20715 23205 23477 29001 48335 53859 62145 69615 70431 87003 89765 117385 125671 145005 161577 164339 211293 269295 305201 352155 377013 435015 493017 628355 807885 821695 915603 1056465 1131039 1479051 1526005 1885065 2136407 2465085 2746809 4578015 5655195 6409221 7395255 10682035 13734045 19227663 32046105 96138315