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116475136 = 28292541
BaseRepresentation
bin1101111000101…
…00010100000000
322010011112211221
412330110110000
5214304201021
615320244424
72613010441
oct674242400
9263145757
10116475136
115a824548
1233010714
131b1916cb
141167d2c8
15a35b241
hex6f14500

116475136 has 54 divisors (see below), whose sum is σ = 241233902. Its totient is φ = 56125440.

The previous prime is 116475131. The next prime is 116475167. The reversal of 116475136 is 631574611.

It can be written as a sum of positive squares in 3 ways, for example, as 14868736 + 101606400 = 3856^2 + 10080^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116475131) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 215026 + ... + 215566.

Almost surely, 2116475136 is an apocalyptic number.

116475136 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 116475136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120616951).

116475136 is an abundant number, since it is smaller than the sum of its proper divisors (124758766).

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

116475136 is an frugal number, since it uses more digits than its factorization.

116475136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 572 counting only the distinct ones).

The product of its digits is 15120, while the sum is 34.

The square root of 116475136 is about 10792.3647084409. The cubic root of 116475136 is about 488.3648619568.

It can be divided in two parts, 116475 and 136, that added together give a palindrome (116611).

The spelling of 116475136 in words is "one hundred sixteen million, four hundred seventy-five thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 541 841 928 1082 1682 1856 2164 3364 3712 4328 6728 7424 8656 13456 15689 17312 26912 31378 34624 53824 62756 69248 107648 125512 138496 215296 251024 454981 502048 909962 1004096 1819924 2008192 3639848 4016384 7279696 14559392 29118784 58237568 116475136