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96556240 = 24511113971
BaseRepresentation
bin1011100000101…
…01010011010000
320201200120021001
411300111103100
5144204244430
613325311344
72251500034
oct560252320
9221616231
1096556240
114a55a150
1228405554
1317009191
14cb761c4
1587243ca
hex5c154d0

96556240 has 80 divisors (see below), whose sum is σ = 247323456. Its totient is φ = 34764800.

The previous prime is 96556223. The next prime is 96556241. The reversal of 96556240 is 4265569.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Smith number, since the sum of its digits (37) 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 96556240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96556241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98955 + ... + 99925.

Almost surely, 296556240 is an apocalyptic number.

96556240 is the 6215-th heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96556240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123661728).

96556240 is an abundant number, since it is smaller than the sum of its proper divisors (150767216).

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

96556240 is a wasteful number, since it uses less digits than its factorization.

96556240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1108 (or 1102 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 37.

The square root of 96556240 is about 9826.3034758754. The cubic root of 96556240 is about 458.7683498118.

The spelling of 96556240 in words is "ninety-six million, five hundred fifty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 113 176 220 226 440 452 565 880 904 971 1130 1243 1808 1942 2260 2486 3884 4520 4855 4972 6215 7768 9040 9710 9944 10681 12430 15536 19420 19888 21362 24860 38840 42724 49720 53405 77680 85448 99440 106810 109723 170896 213620 219446 427240 438892 548615 854480 877784 1097230 1206953 1755568 2194460 2413906 4388920 4827812 6034765 8777840 9655624 12069530 19311248 24139060 48278120 96556240