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1053315104 = 25177127271
BaseRepresentation
bin111110110010000…
…101000000100000
32201101222221200112
4332302011000200
54124122040404
6252304110452
735050013342
oct7662050040
92641887615
101053315104
114a0629256
12254905428
1313a2b649a
149dc69292
156271356e
hex3ec85020

1053315104 has 48 divisors (see below), whose sum is σ = 2226704256. Its totient is φ = 488678400.

The previous prime is 1053315083. The next prime is 1053315113. The reversal of 1053315104 is 4015133501.

It is a super-2 number, since 2×10533151042 = 2218945416629061632, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1053315104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24989 + ... + 52259.

It is an arithmetic number, because the mean of its divisors is an integer number (46389672).

Almost surely, 21053315104 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 1053315104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1113352128).

1053315104 is an abundant number, since it is smaller than the sum of its proper divisors (1173389152).

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

1053315104 is a wasteful number, since it uses less digits than its factorization.

1053315104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27369 (or 27361 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 1053315104 is about 32454.8163451898. The cubic root of 1053315104 is about 1017.4649027731.

Adding to 1053315104 its reverse (4015133501), we get a palindrome (5068448605).

The spelling of 1053315104 in words is "one billion, fifty-three million, three hundred fifteen thousand, one hundred four".

Divisors: 1 2 4 8 16 17 32 34 68 71 136 142 272 284 544 568 1136 1207 2272 2414 4828 9656 19312 27271 38624 54542 109084 218168 436336 463607 872672 927214 1854428 1936241 3708856 3872482 7417712 7744964 14835424 15489928 30979856 32916097 61959712 65832194 131664388 263328776 526657552 1053315104