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1056474540 = 2232511533573
BaseRepresentation
bin111110111110001…
…000010110101100
32201121221110121200
4332332020112230
54130424141130
6252455525500
735115612462
oct7676102654
92647843550
101056474540
114a2396a60
12255989890
1313ab51584
14a044c832
1562b39760
hex3ef885ac

1056474540 has 72 divisors (see below), whose sum is σ = 3495976848. Its totient is φ = 256114560.

The previous prime is 1056474539. The next prime is 1056474563. The reversal of 1056474540 is 454746501.

1056474540 is a `hidden beast` number, since 1 + 0 + 5 + 647 + 4 + 5 + 4 + 0 = 666.

It is a super-2 number, since 2×10564745402 = 2232276907336423200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1056474495 and 1056474504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 264807 + ... + 268766.

It is an arithmetic number, because the mean of its divisors is an integer number (48555234).

Almost surely, 21056474540 is an apocalyptic number.

1056474540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1056474540 is an abundant number, since it is smaller than the sum of its proper divisors (2439502308).

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

1056474540 is a wasteful number, since it uses less digits than its factorization.

1056474540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533599 (or 533594 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 1056474540 is about 32503.4542779687. The cubic root of 1056474540 is about 1018.4811882381.

The spelling of 1056474540 in words is "one billion, fifty-six million, four hundred seventy-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 533573 1067146 1600719 2134292 2667865 3201438 4802157 5335730 5869303 6402876 8003595 9604314 10671460 11738606 16007190 17607909 19208628 23477212 24010785 29346515 32014380 35215818 48021570 52823727 58693030 70431636 88039545 96043140 105647454 117386060 176079090 211294908 264118635 352158180 528237270 1056474540