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1150564420 = 225172326397
BaseRepresentation
bin100010010010100…
…0011100001000100
32222011222201200001
41010211003201010
54324021030140
6310100331044
740340431135
oct10445034104
92864881601
101150564420
11540511095
122813a3a84
131544a5c65
14acb41c8c
156b022e9a
hex44943844

1150564420 has 72 divisors (see below), whose sum is σ = 2674799064. Its totient is φ = 414256128.

The previous prime is 1150564409. The next prime is 1150564447. The reversal of 1150564420 is 244650511.

It can be written as a sum of positive squares in 4 ways, for example, as 16760836 + 1133803584 = 4094^2 + 33672^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 176662 + ... + 183058.

It is an arithmetic number, because the mean of its divisors is an integer number (37149987).

Almost surely, 21150564420 is an apocalyptic number.

1150564420 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 1150564420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1337399532).

1150564420 is an abundant number, since it is smaller than the sum of its proper divisors (1524234644).

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

1150564420 is a wasteful number, since it uses less digits than its factorization.

1150564420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6469 (or 6444 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 1150564420 is about 33919.9708136667. The cubic root of 1150564420 is about 1047.8609271488.

It can be divided in two parts, 11505644 and 20, that added together give a square (11505664 = 33922).

The spelling of 1150564420 in words is "one billion, one hundred fifty million, five hundred sixty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 23 34 46 68 85 92 115 170 230 340 391 460 529 782 1058 1564 1955 2116 2645 3910 5290 6397 7820 8993 10580 12794 17986 25588 31985 35972 44965 63970 89930 108749 127940 147131 179860 217498 294262 434996 543745 588524 735655 1087490 1471310 2174980 2501227 2942620 3384013 5002454 6768026 10004908 12506135 13536052 16920065 25012270 33840130 50024540 57528221 67680260 115056442 230112884 287641105 575282210 1150564420