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3720992 = 25112312
BaseRepresentation
bin1110001100011100100000
321000001020112
432030130200
51423032432
6211430452
743425242
oct16143440
97001215
103720992
112111700
1212b5428
13a03892
146cc092
154d77b2
hex38c720

3720992 has 54 divisors (see below), whose sum is σ = 8320347. Its totient is φ = 1636800.

The previous prime is 3720989. The next prime is 3721027. The reversal of 3720992 is 2990273.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 1860496 + 1860496 = 1364^2 + 1364^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=1364.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 120017 + ... + 120047.

Almost surely, 23720992 is an apocalyptic number.

3720992 is a gapful number since it is divisible by the number (32) 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 3720992

3720992 is an abundant number, since it is smaller than the sum of its proper divisors (4599355).

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

3720992 is a wasteful number, since it uses less digits than its factorization.

3720992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 32.

The square root of 3720992 is about 1928.9872990769. The cubic root of 3720992 is about 154.9599896730.

Multiplying 3720992 by its sum of digits (32), we get a square (119071744 = 109122).

3720992 divided by its sum of digits (32) gives a square (116281 = 3412).

The spelling of 3720992 in words is "three million, seven hundred twenty thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 88 121 124 176 242 248 341 352 484 496 682 961 968 992 1364 1922 1936 2728 3751 3844 3872 5456 7502 7688 10571 10912 15004 15376 21142 30008 30752 42284 60016 84568 116281 120032 169136 232562 338272 465124 930248 1860496 3720992