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40056320 = 29515647
BaseRepresentation
bin1001100011001…
…1011000000000
32210101001221102
42120303120000
540223300240
63550313532
7664321163
oct230633000
983331842
1040056320
11206799a7
12114b88a8
1383b6385
145469ada
1537b3815
hex2633600

40056320 has 40 divisors (see below), whose sum is σ = 96047424. Its totient is φ = 16021504.

The previous prime is 40056281. The next prime is 40056383. The reversal of 40056320 is 2365004.

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 (20).

It is a junction number, because it is equal to n+sod(n) for n = 40056292 and 40056301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5264 + ... + 10383.

Almost surely, 240056320 is an apocalyptic number.

40056320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40056320 is an abundant number, since it is smaller than the sum of its proper divisors (55991104).

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

40056320 is an equidigital number, since it uses as much as digits as its factorization.

40056320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15670 (or 15654 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 40056320 is about 6329.0062411093. The cubic root of 40056320 is about 342.1556238038.

The spelling of 40056320 in words is "forty million, fifty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 15647 31294 62588 78235 125176 156470 250352 312940 500704 625880 1001408 1251760 2002816 2503520 4005632 5007040 8011264 10014080 20028160 40056320