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1057818540 = 2235171954583
BaseRepresentation
bin111111000011010…
…000011110101100
32201201110202020110
4333003100132230
54131300143130
6252544420020
735133211032
oct7703203654
92651422213
101057818540
114a31247a9
12256317610
1313b20223c
14a06bc552
1562d02ab0
hex3f0d07ac

1057818540 has 96 divisors (see below), whose sum is σ = 3301240320. Its totient is φ = 251513856.

The previous prime is 1057818499. The next prime is 1057818577. The reversal of 1057818540 is 458187501.

It is a super-2 number, since 2×10578185402 = 2237960127135463200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7912 + ... + 46671.

It is an arithmetic number, because the mean of its divisors is an integer number (34387920).

Almost surely, 21057818540 is an apocalyptic number.

1057818540 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 1057818540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1650620160).

1057818540 is an abundant number, since it is smaller than the sum of its proper divisors (2243421780).

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

1057818540 is a wasteful number, since it uses less digits than its factorization.

1057818540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54631 (or 54629 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 39.

The square root of 1057818540 is about 32524.1224324347. The cubic root of 1057818540 is about 1018.9128940724.

The spelling of 1057818540 in words is "one billion, fifty-seven million, eight hundred eighteen thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 19 20 30 34 38 51 57 60 68 76 85 95 102 114 170 190 204 228 255 285 323 340 380 510 570 646 969 1020 1140 1292 1615 1938 3230 3876 4845 6460 9690 19380 54583 109166 163749 218332 272915 327498 545830 654996 818745 927911 1037077 1091660 1637490 1855822 2074154 2783733 3111231 3274980 3711644 4148308 4639555 5185385 5567466 6222462 9279110 10370770 11134932 12444924 13918665 15556155 17630309 18558220 20741540 27837330 31112310 35260618 52890927 55674660 62224620 70521236 88151545 105781854 176303090 211563708 264454635 352606180 528909270 1057818540