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1053120536 = 2313101107937
BaseRepresentation
bin111110110001010…
…101100000011000
32201101122001210022
4332301111200120
54124044324121
6252300010012
735045243156
oct7661254030
92641561708
101053120536
114a0506056
12254830908
1313a248a60
149dc183d6
15626c5aab
hex3ec55818

1053120536 has 64 divisors (see below), whose sum is σ = 2169931680. Its totient is φ = 476236800.

The previous prime is 1053120533. The next prime is 1053120569. The reversal of 1053120536 is 6350213501.

It is a super-2 number, since 2×10531205362 = 2218125726689854592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053120533) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1123460 + ... + 1124396.

Almost surely, 21053120536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1053120536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1084965840).

1053120536 is an abundant number, since it is smaller than the sum of its proper divisors (1116811144).

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

1053120536 is a wasteful number, since it uses less digits than its factorization.

1053120536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1164 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 26.

The square root of 1053120536 is about 32451.8186855529. The cubic root of 1053120536 is about 1017.4022503275.

The spelling of 1053120536 in words is "one billion, fifty-three million, one hundred twenty thousand, five hundred thirty-six".

Divisors: 1 2 4 8 13 26 52 101 104 107 202 214 404 428 808 856 937 1313 1391 1874 2626 2782 3748 5252 5564 7496 10504 10807 11128 12181 21614 24362 43228 48724 86456 94637 97448 100259 140491 189274 200518 280982 378548 401036 561964 757096 802072 1123928 1230281 1303367 2460562 2606734 4921124 5213468 9842248 10126159 10426936 20252318 40504636 81009272 131640067 263280134 526560268 1053120536