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1074027640 = 23574997687
BaseRepresentation
bin100000000000100…
…0101110001111000
32202211222020221111
41000001011301320
54144422341030
6254324050104
735421040630
oct10001056170
92684866844
101074027640
11501295954
1225b833934
1314168901a
14a28db6c0
156445562a
hex40045c78

1074027640 has 64 divisors (see below), whose sum is σ = 2767680000. Its totient is φ = 367452288.

The previous prime is 1074027631. The next prime is 1074027653. The reversal of 1074027640 is 467204701.

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, 135877 + ... + 143563.

It is an arithmetic number, because the mean of its divisors is an integer number (43245000).

Almost surely, 21074027640 is an apocalyptic number.

1074027640 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 1074027640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1383840000).

1074027640 is an abundant number, since it is smaller than the sum of its proper divisors (1693652360).

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

1074027640 is a wasteful number, since it uses less digits than its factorization.

1074027640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8204 (or 8200 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 31.

The square root of 1074027640 is about 32772.3609158693. The cubic root of 1074027640 is about 1024.0908503989.

The spelling of 1074027640 in words is "one billion, seventy-four million, twenty-seven thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 499 998 1996 2495 3493 3992 4990 6986 7687 9980 13972 15374 17465 19960 27944 30748 34930 38435 53809 61496 69860 76870 107618 139720 153740 215236 269045 307480 430472 538090 1076180 2152360 3835813 7671626 15343252 19179065 26850691 30686504 38358130 53701382 76716260 107402764 134253455 153432520 214805528 268506910 537013820 1074027640