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196914240 = 2634571107
BaseRepresentation
bin10111011110010…
…10110001000000
3111201112021120000
423233022301000
5400402223430
631312320000
74610512665
oct1357126100
9451467500
10196914240
11a1175646
1255b43000
1331a46903
141c21ba6c
1512449e60
hexbbcac40

196914240 has 280 divisors, whose sum is σ = 716962752. Its totient is φ = 51287040.

The previous prime is 196914229. The next prime is 196914257. The reversal of 196914240 is 42419691.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 196914195 and 196914204.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 1840267 + ... + 1840373.

Almost surely, 2196914240 is an apocalyptic number.

196914240 is a gapful number since it is divisible by the number (10) 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 196914240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358481376).

196914240 is an abundant number, since it is smaller than the sum of its proper divisors (520048512).

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

196914240 is a wasteful number, since it uses less digits than its factorization.

196914240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 196914240 is about 14032.6134415511. The cubic root of 196914240 is about 581.7803401051.

The spelling of 196914240 in words is "one hundred ninety-six million, nine hundred fourteen thousand, two hundred forty".