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1053706240 = 2115176053
BaseRepresentation
bin111110110011100…
…100100000000000
32201102201211020001
4332303210200000
54124222044430
6252320325344
735053232566
oct7663444000
92642654201
101053706240
114a0876104
12254a73854
1313a3c2522
149dd2ba36
156278e3ca
hex3ece4800

1053706240 has 96 divisors (see below), whose sum is σ = 2677442040. Its totient is φ = 396623872.

The previous prime is 1053706217. The next prime is 1053706249. The reversal of 1053706240 is 426073501.

It can be written as a sum of positive squares in 4 ways, for example, as 745071616 + 308634624 = 27296^2 + 17568^2 .

It is a super-2 number, since 2×10537062402 = 2220593680429875200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1053706199 and 1053706208.

It is not an unprimeable number, because it can be changed into a prime (1053706249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 171054 + ... + 177106.

Almost surely, 21053706240 is an apocalyptic number.

1053706240 is a gapful number since it is divisible by the number (10) 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 1053706240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1338721020).

1053706240 is an abundant number, since it is smaller than the sum of its proper divisors (1623735800).

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

1053706240 is an equidigital number, since it uses as much as digits as its factorization.

1053706240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6097 (or 6077 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 1053706240 is about 32460.8416403518. The cubic root of 1053706240 is about 1017.5908283392.

Adding to 1053706240 its reverse (426073501), we get a palindrome (1479779741).

The spelling of 1053706240 in words is "one billion, fifty-three million, seven hundred six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 256 272 320 340 512 544 640 680 1024 1088 1280 1360 2048 2176 2560 2720 4352 5120 5440 6053 8704 10240 10880 12106 17408 21760 24212 30265 34816 43520 48424 60530 87040 96848 102901 121060 174080 193696 205802 242120 387392 411604 484240 514505 774784 823208 968480 1029010 1549568 1646416 1936960 2058020 3099136 3292832 3873920 4116040 6198272 6585664 7747840 8232080 12396544 13171328 15495680 16464160 26342656 30991360 32928320 52685312 61982720 65856640 105370624 131713280 210741248 263426560 526853120 1053706240