Search a number
-
+
116722432 = 284789109
BaseRepresentation
bin1101111010100…
…00101100000000
322010122010002001
412331100230000
5214340104212
615325433344
72615060431
oct675205400
9263563061
10116722432
115a983322
123310b854
131b24a138
1411705488
15a3a9657
hex6f50b00

116722432 has 72 divisors (see below), whose sum is σ = 242827200. Its totient is φ = 55959552.

The previous prime is 116722429. The next prime is 116722451. The reversal of 116722432 is 234227611.

It is a super-2 number, since 2×1167224322 = 27248252263989248, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 116722432.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1070794 + ... + 1070902.

It is an arithmetic number, because the mean of its divisors is an integer number (3372600).

Almost surely, 2116722432 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 116722432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121413600).

116722432 is an abundant number, since it is smaller than the sum of its proper divisors (126104768).

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

116722432 is an equidigital number, since it uses as much as digits as its factorization.

116722432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 247 counting only the distinct ones).

The product of its digits is 4032, while the sum is 28.

The square root of 116722432 is about 10803.8156222698. The cubic root of 116722432 is about 488.7102441264.

The spelling of 116722432 in words is "one hundred sixteen million, seven hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 47 64 89 94 109 128 178 188 218 256 356 376 436 712 752 872 1424 1504 1744 2848 3008 3488 4183 5123 5696 6016 6976 8366 9701 10246 11392 12032 13952 16732 19402 20492 22784 27904 33464 38804 40984 66928 77608 81968 133856 155216 163936 267712 310432 327872 455947 535424 620864 655744 911894 1070848 1241728 1311488 1823788 2483456 3647576 7295152 14590304 29180608 58361216 116722432