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191431920 = 2435797633
BaseRepresentation
bin10110110100100…
…00010011110000
3111100012202020010
423122100103300
5343001310140
630555014520
74513100361
oct1332202360
9440182203
10191431920
11990706a9
125413a440
1330877434
141b5d1b68
1511c15880
hexb6904f0

191431920 has 40 divisors (see below), whose sum is σ = 593439696. Its totient is φ = 51048448.

The previous prime is 191431909. The next prime is 191431963. The reversal of 191431920 is 29134191.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 398577 + ... + 399056.

Almost surely, 2191431920 is an apocalyptic number.

191431920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

191431920 is an abundant number, since it is smaller than the sum of its proper divisors (402007776).

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

191431920 is a wasteful number, since it uses less digits than its factorization.

191431920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797649 (or 797643 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 191431920 is about 13835.8924540486. The cubic root of 191431920 is about 576.3302985991.

The spelling of 191431920 in words is "one hundred ninety-one million, four hundred thirty-one thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 797633 1595266 2392899 3190532 3988165 4785798 6381064 7976330 9571596 11964495 12762128 15952660 19143192 23928990 31905320 38286384 47857980 63810640 95715960 191431920