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1053337932 = 22373472
BaseRepresentation
bin111110110010001…
…010100101001100
32201102001010000000
4332302022211030
54124123303212
6252304404300
735050140033
oct7662124514
92642033000
101053337932
114a0644419
12254916690
1313a2c39aa
149dc7371a
156271a1dc
hex3ec8a94c

1053337932 has 72 divisors (see below), whose sum is σ = 2772580720. Its totient is φ = 350100792.

The previous prime is 1053337931. The next prime is 1053337937. The reversal of 1053337932 is 2397333501.

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.

1053337932 is a `hidden beast` number, since 1 + 0 + 533 + 37 + 93 + 2 = 666.

1053337932 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10533379322 = 2219041597980073248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1053337931) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3035383 + ... + 3035729.

Almost surely, 21053337932 is an apocalyptic number.

1053337932 is a gapful number since it is divisible by the number (12) 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 1053337932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1386290360).

1053337932 is an abundant number, since it is smaller than the sum of its proper divisors (1719242788).

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

1053337932 is an frugal number, since it uses more digits than its factorization.

1053337932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 51030, while the sum is 36.

The square root of 1053337932 is about 32455.1680322256. The cubic root of 1053337932 is about 1017.4722530652.

The spelling of 1053337932 in words is "one billion, fifty-three million, three hundred thirty-seven thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 347 486 694 729 972 1041 1388 1458 2082 2187 2916 3123 4164 4374 6246 8748 9369 12492 18738 28107 37476 56214 84321 112428 120409 168642 240818 252963 337284 361227 481636 505926 722454 758889 1011852 1083681 1444908 1517778 2167362 3035556 3251043 4334724 6502086 9753129 13004172 19506258 29259387 39012516 58518774 87778161 117037548 175556322 263334483 351112644 526668966 1053337932