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43056920 = 23517232753
BaseRepresentation
bin1010010000111…
…1111100011000
310000000111222202
42210033330120
542010310140
64134505332
71031656244
oct244177430
9100014882
1043056920
1122339335
1212505248
138bc708a
145a0b424
153ba7915
hex290ff18

43056920 has 64 divisors (see below), whose sum is σ = 107075520. Its totient is φ = 15499264.

The previous prime is 43056919. The next prime is 43056931. The reversal of 43056920 is 2965034.

43056920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14264 + ... + 17016.

It is an arithmetic number, because the mean of its divisors is an integer number (1673055).

Almost surely, 243056920 is an apocalyptic number.

43056920 is a gapful number since it is divisible by the number (40) 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 43056920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53537760).

43056920 is an abundant number, since it is smaller than the sum of its proper divisors (64018600).

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

43056920 is a wasteful number, since it uses less digits than its factorization.

43056920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2804 (or 2800 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 43056920 is about 6561.7771982901. Note that the first 3 decimals coincide. The cubic root of 43056920 is about 350.4943219247.

The spelling of 43056920 in words is "forty-three million, fifty-six thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 23 34 40 46 68 85 92 115 136 170 184 230 340 391 460 680 782 920 1564 1955 2753 3128 3910 5506 7820 11012 13765 15640 22024 27530 46801 55060 63319 93602 110120 126638 187204 234005 253276 316595 374408 468010 506552 633190 936020 1076423 1266380 1872040 2152846 2532760 4305692 5382115 8611384 10764230 21528460 43056920