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116528256 = 27321331251
BaseRepresentation
bin1101111001000…
…01010010000000
322010021020201100
412330201102000
5214312401011
615321334400
72613321345
oct674412200
9263236640
10116528256
115a860449
1233037400
131b1ac940
14116947cc
15a36bd56
hex6f21480

116528256 has 192 divisors, whose sum is σ = 374250240. Its totient is φ = 34560000.

The previous prime is 116528233. The next prime is 116528257. The reversal of 116528256 is 652825611.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (28800) is a multiple of the sum of its prime divisors (300).

It is a self number, because there is not a number n which added to its sum of digits gives 116528256.

It is not an unprimeable number, because it can be changed into a prime (116528257) 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, 464131 + ... + 464381.

It is an arithmetic number, because the mean of its divisors is an integer number (1949220).

Almost surely, 2116528256 is an apocalyptic number.

116528256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116528256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187125120).

116528256 is an abundant number, since it is smaller than the sum of its proper divisors (257721984).

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

116528256 is a wasteful number, since it uses less digits than its factorization.

116528256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 300 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The square root of 116528256 is about 10794.8254270275. The cubic root of 116528256 is about 488.4390923881.

The spelling of 116528256 in words is "one hundred sixteen million, five hundred twenty-eight thousand, two hundred fifty-six".