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1053412736 = 2731535009
BaseRepresentation
bin111110110010011…
…100110110000000
32201102011220121112
4332302130312000
54124133201421
6252310142452
735050601105
oct7662346600
92642156545
101053412736
114a0695642
12254951a28
1313a31ba5c
149dc92aac
156273245b
hex3ec9cd80

1053412736 has 64 divisors (see below), whose sum is σ = 2207606400. Its totient is φ = 499998720.

The previous prime is 1053412697. The next prime is 1053412757. The reversal of 1053412736 is 6372143501.

1053412736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×10534127362 = 2219356784734011392, which contains 22 as substring.

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

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, 207800 + ... + 212808.

It is an arithmetic number, because the mean of its divisors is an integer number (34493850).

Almost surely, 21053412736 is an apocalyptic number.

1053412736 is a gapful number since it is divisible by the number (16) 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 1053412736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1103803200).

1053412736 is an abundant number, since it is smaller than the sum of its proper divisors (1154193664).

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

1053412736 is an equidigital number, since it uses as much as digits as its factorization.

1053412736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5107 (or 5095 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 1053412736 is about 32456.3204322363. The cubic root of 1053412736 is about 1017.4963381476.

The spelling of 1053412736 in words is "one billion, fifty-three million, four hundred twelve thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 16 31 32 53 62 64 106 124 128 212 248 424 496 848 992 1643 1696 1984 3286 3392 3968 5009 6572 6784 10018 13144 20036 26288 40072 52576 80144 105152 155279 160288 210304 265477 310558 320576 530954 621116 641152 1061908 1242232 2123816 2484464 4247632 4968928 8229787 8495264 9937856 16459574 16990528 19875712 32919148 33981056 65838296 131676592 263353184 526706368 1053412736