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196124832 = 2532680989
BaseRepresentation
bin10111011000010…
…10000010100000
3111200001011200200
423230022002200
5400201443312
631243345200
74601014341
oct1354120240
9450034620
10196124832
11a0786542
1255822200
133182b4c7
141c0940c8
15123410dc
hexbb0a0a0

196124832 has 36 divisors (see below), whose sum is σ = 557730810. Its totient is φ = 65374848.

The previous prime is 196124813. The next prime is 196124833. The reversal of 196124832 is 238421691.

196124832 is a `hidden beast` number, since 1 + 9 + 612 + 4 + 8 + 32 = 666.

It can be written as a sum of positive squares in only one way, i.e., 194769936 + 1354896 = 13956^2 + 1164^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (196124833) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 340207 + ... + 340782.

Almost surely, 2196124832 is an apocalyptic number.

196124832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

196124832 is an abundant number, since it is smaller than the sum of its proper divisors (361605978).

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

196124832 is a wasteful number, since it uses less digits than its factorization.

196124832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 681005 (or 680994 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 196124832 is about 14004.4575760720. The cubic root of 196124832 is about 581.0018673108.

The spelling of 196124832 in words is "one hundred ninety-six million, one hundred twenty-four thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 680989 1361978 2042967 2723956 4085934 5447912 6128901 8171868 10895824 12257802 16343736 21791648 24515604 32687472 49031208 65374944 98062416 196124832