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196927920 = 24325741953
BaseRepresentation
bin10111011110011…
…10000110110000
3111201112222022200
423233032012300
5400403143140
631312503200
74610600610
oct1357160660
9451488280
10196927920
11a1184952
1255b4ab00
1331a4cbc7
141c222a40
151244e030
hexbbce1b0

196927920 has 240 divisors, whose sum is σ = 775075392. Its totient is φ = 43868160.

The previous prime is 196927919. The next prime is 196927921. The reversal of 196927920 is 29729691.

It is an interprime number because it is at equal distance from previous prime (196927919) and next prime (196927921).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (196927921) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 206164 + ... + 207116.

Almost surely, 2196927920 is an apocalyptic number.

196927920 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 196927920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387537696).

196927920 is an abundant number, since it is smaller than the sum of its proper divisors (578147472).

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

196927920 is a wasteful number, since it uses less digits than its factorization.

196927920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 196927920 is about 14033.1008690168. The cubic root of 196927920 is about 581.7938122487.

The spelling of 196927920 in words is "one hundred ninety-six million, nine hundred twenty-seven thousand, nine hundred twenty".