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196372512 = 2534779137
BaseRepresentation
bin10111011010001…
…10100000100000
3111200111202110000
423231012200200
5400232410022
631252540000
74603065420
oct1355064040
9450452400
10196372512
11a0935636
1255921600
13318b716b
141c11a480
151238e6ac
hexbb46820

196372512 has 240 divisors, whose sum is σ = 673263360. Its totient is φ = 54991872.

The previous prime is 196372489. The next prime is 196372549. The reversal of 196372512 is 215273691.

196372512 is a `hidden beast` number, since 1 + 9 + 637 + 2 + 5 + 12 = 666.

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

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 39 ways as a sum of consecutive naturals, for example, 1433308 + ... + 1433444.

It is an arithmetic number, because the mean of its divisors is an integer number (2805264).

Almost surely, 2196372512 is an apocalyptic number.

196372512 is a gapful number since it is divisible by the number (12) 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 196372512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336631680).

196372512 is an abundant number, since it is smaller than the sum of its proper divisors (476890848).

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

196372512 is a wasteful number, since it uses less digits than its factorization.

196372512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 228 counting only the distinct ones).

The product of its digits is 22680, while the sum is 36.

The square root of 196372512 is about 14013.2976846993. The cubic root of 196372512 is about 581.2463408719.

The spelling of 196372512 in words is "one hundred ninety-six million, three hundred seventy-two thousand, five hundred twelve".