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1074790656 = 28326832
BaseRepresentation
bin100000000010000…
…0000000100000000
32202220102000121100
41000010000010000
54200121300111
6254352254400
735430366312
oct10004000400
92686360540
101074790656
11501767145
1225bb41400
13141895404
14a2a597b2
1564556756
hex40100100

1074790656 has 81 divisors (see below), whose sum is σ = 3103430239. Its totient is φ = 357739008.

The previous prime is 1074790601. The next prime is 1074790697. The reversal of 1074790656 is 6560974701.

It is a happy number.

The square root of 1074790656 is 32784.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1573291 + ... + 1573973.

Almost surely, 21074790656 is an apocalyptic number.

1074790656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1074790656 is the 32784-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1074790656

1074790656 is an abundant number, since it is smaller than the sum of its proper divisors (2028639583).

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

1074790656 is an frugal number, since it uses more digits than its factorization.

1074790656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1388 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The cubic root of 1074790656 is about 1024.3333062125. Note that the first 4 decimals are identical.

The spelling of 1074790656 in words is "one billion, seventy-four million, seven hundred ninety thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 683 768 1152 1366 2049 2304 2732 4098 5464 6147 8196 10928 12294 16392 21856 24588 32784 43712 49176 65568 87424 98352 131136 174848 196704 262272 393408 466489 524544 786816 932978 1399467 1573632 1865956 2798934 3731912 4198401 5597868 7463824 8396802 11195736 14927648 16793604 22391472 29855296 33587208 44782944 59710592 67174416 89565888 119421184 134348832 179131776 268697664 358263552 537395328 1074790656