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1057043640 = 233516375381
BaseRepresentation
bin111111000000010…
…011010010111000
32201200000101021110
4333000103102320
54131100344030
6252520040320
735123502612
oct7700232270
92650011243
101057043640
114a2745594
122560030a0
1313acc0613
14a0559db2
1562bed1b0
hex3f0134b8

1057043640 has 64 divisors (see below), whose sum is σ = 3173657760. Its totient is φ = 281653760.

The previous prime is 1057043633. The next prime is 1057043651. The reversal of 1057043640 is 463407501.

It is a super-2 number, since 2×10570436402 = 2234682513728899200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 1057043598 and 1057043607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193750 + ... + 199130.

Almost surely, 21057043640 is an apocalyptic number.

1057043640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1057043640 is an abundant number, since it is smaller than the sum of its proper divisors (2116614120).

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

1057043640 is a wasteful number, since it uses less digits than its factorization.

1057043640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7032 (or 7028 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 1057043640 is about 32512.2075534714. The cubic root of 1057043640 is about 1018.6640333446.

The spelling of 1057043640 in words is "one billion, fifty-seven million, forty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1637 3274 4911 5381 6548 8185 9822 10762 13096 16143 16370 19644 21524 24555 26905 32286 32740 39288 43048 49110 53810 64572 65480 80715 98220 107620 129144 161430 196440 215240 322860 645720 8808697 17617394 26426091 35234788 44043485 52852182 70469576 88086970 105704364 132130455 176173940 211408728 264260910 352347880 528521820 1057043640