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196386120 = 23345721237
BaseRepresentation
bin10111011010010…
…01110101001000
3111200112110010000
423231021311020
5400233323440
631253123000
74603153200
oct1355116510
9450473100
10196386120
11a0944887
1255929460
13318c0408
141c121400
1512393730
hexbb49d48

196386120 has 240 divisors, whose sum is σ = 768463740. Its totient is φ = 44851968.

The previous prime is 196386089. The next prime is 196386131. The reversal of 196386120 is 21683691.

196386120 is a `hidden beast` number, since 1 + 9 + 6 + 38 + 612 + 0 = 666.

196386120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 195608196 + 777924 = 13986^2 + 882^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 158142 + ... + 159378.

Almost surely, 2196386120 is an apocalyptic number.

196386120 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 196386120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384231870).

196386120 is an abundant number, since it is smaller than the sum of its proper divisors (572077620).

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

196386120 is a wasteful number, since it uses less digits than its factorization.

196386120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1274 (or 1254 counting only the distinct ones).

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

The square root of 196386120 is about 14013.7832151065. The cubic root of 196386120 is about 581.2597667454.

The spelling of 196386120 in words is "one hundred ninety-six million, three hundred eighty-six thousand, one hundred twenty".