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95240960 = 285372011
BaseRepresentation
bin1011010110101…
…00001100000000
320122012202000222
411223110030000
5143340202320
613241202212
72234351303
oct553241400
9218182028
1095240960
1149840a41
1227a90368
13169685c9
14c912b3a
158564825
hex5ad4300

95240960 has 72 divisors (see below), whose sum is σ = 234414096. Its totient is φ = 37048320.

The previous prime is 95240911. The next prime is 95240989. The reversal of 95240960 is 6904259.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 95240960.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46355 + ... + 48365.

Almost surely, 295240960 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 95240960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117207048).

95240960 is an abundant number, since it is smaller than the sum of its proper divisors (139173136).

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

95240960 is a wasteful number, since it uses less digits than its factorization.

95240960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2069 (or 2055 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 35.

The square root of 95240960 is about 9759.1475037526. The cubic root of 95240960 is about 456.6757192397.

The spelling of 95240960 in words is "ninety-five million, two hundred forty thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 64 74 80 128 148 160 185 256 296 320 370 592 640 740 1184 1280 1480 2011 2368 2960 4022 4736 5920 8044 9472 10055 11840 16088 20110 23680 32176 40220 47360 64352 74407 80440 128704 148814 160880 257408 297628 321760 372035 514816 595256 643520 744070 1190512 1287040 1488140 2381024 2574080 2976280 4762048 5952560 9524096 11905120 19048192 23810240 47620480 95240960