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116570432 = 2611215053
BaseRepresentation
bin1101111001010…
…11100101000000
322010100101120102
412330223211000
5214320223212
615322301532
72613555326
oct674534500
9263311512
10116570432
115a88a100
12330578a8
131b1c5bb4
14116a5d16
15a3795c2
hex6f2b940

116570432 has 42 divisors (see below), whose sum is σ = 254277114. Its totient is φ = 52983040.

The previous prime is 116570431. The next prime is 116570437. The reversal of 116570432 is 234075611.

It can be written as a sum of positive squares in only one way, i.e., 115261696 + 1308736 = 10736^2 + 1144^2 .

It is a junction number, because it is equal to n+sod(n) for n = 116570395 and 116570404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116570431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 218 + ... + 15270.

It is an arithmetic number, because the mean of its divisors is an integer number (6054217).

Almost surely, 2116570432 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 116570432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127138557).

116570432 is an abundant number, since it is smaller than the sum of its proper divisors (137706682).

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

116570432 is a wasteful number, since it uses less digits than its factorization.

116570432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15087 (or 15066 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 116570432 is about 10796.7787788766. The cubic root of 116570432 is about 488.4980134974.

The spelling of 116570432 in words is "one hundred sixteen million, five hundred seventy thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 484 704 968 1936 3872 7744 15053 30106 60212 120424 165583 240848 331166 481696 662332 963392 1324664 1821413 2649328 3642826 5298656 7285652 10597312 14571304 29142608 58285216 116570432