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196400646 = 23313221521
BaseRepresentation
bin10111011010011…
…01011000000110
3111200120012001000
423231031120012
5400234310041
631253314130
74603243431
oct1355153006
9450505030
10196400646
11a0954792
1255935946
13318c6c00
141c126818
1512397bb6
hexbb4d606

196400646 has 48 divisors (see below), whose sum is σ = 472623120. Its totient is φ = 60428160.

The previous prime is 196400641. The next prime is 196400647. The reversal of 196400646 is 646004691.

196400646 is a `hidden beast` number, since 1 + 9 + 6 + 4 + 0 + 0 + 646 = 666.

196400646 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 196400646.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (196400641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1635 + ... + 19886.

It is an arithmetic number, because the mean of its divisors is an integer number (9846315).

Almost surely, 2196400646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 196400646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236311560).

196400646 is an abundant number, since it is smaller than the sum of its proper divisors (276222474).

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

196400646 is a wasteful number, since it uses less digits than its factorization.

196400646 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21558 (or 21539 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 196400646 is about 14014.3014809872. The cubic root of 196400646 is about 581.2740976482.

The spelling of 196400646 in words is "one hundred ninety-six million, four hundred thousand, six hundred forty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 169 234 338 351 507 702 1014 1521 3042 4563 9126 21521 43042 64563 129126 193689 279773 387378 559546 581067 839319 1162134 1678638 2517957 3637049 5035914 7274098 7553871 10911147 15107742 21822294 32733441 65466882 98200323 196400646