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1137931056 = 243241971987
BaseRepresentation
bin100001111010011…
…0111001100110000
32221022012212221200
41003310313030300
54312302243211
6304525451200
740125153153
oct10364671460
92838185850
101137931056
11534372499
12279110b00
131519a18b2
14ab1b3c9a
1569d79b56
hex43d37330

1137931056 has 120 divisors (see below), whose sum is σ = 3297591024. Its totient is φ = 366059520.

The previous prime is 1137931051. The next prime is 1137931061. The reversal of 1137931056 is 6501397311.

It is an interprime number because it is at equal distance from previous prime (1137931051) and next prime (1137931061).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1137931056.

It is not an unprimeable number, because it can be changed into a prime (1137931051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 571695 + ... + 573681.

Almost surely, 21137931056 is an apocalyptic number.

1137931056 is a gapful number since it is divisible by the number (16) 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 1137931056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1648795512).

1137931056 is an abundant number, since it is smaller than the sum of its proper divisors (2159659968).

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

1137931056 is a wasteful number, since it uses less digits than its factorization.

1137931056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2139 (or 2130 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 36.

The square root of 1137931056 is about 33733.2337020927. The cubic root of 1137931056 is about 1044.0115822029.

The spelling of 1137931056 in words is "one billion, one hundred thirty-seven million, nine hundred thirty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 97 123 144 164 194 246 291 328 369 388 492 582 656 738 776 873 984 1164 1476 1552 1746 1968 1987 2328 2952 3492 3974 3977 4656 5904 5961 6984 7948 7954 11922 11931 13968 15896 15908 17883 23844 23862 31792 31816 35766 35793 47688 47724 63632 71532 71586 81467 95376 95448 143064 143172 162934 190896 192739 244401 286128 286344 325868 385478 488802 572688 578217 651736 733203 770956 977604 1156434 1303472 1466406 1541912 1734651 1955208 2312868 2932812 3083824 3469302 3910416 4625736 5865624 6938604 7902299 9251472 11731248 13877208 15804598 23706897 27754416 31609196 47413794 63218392 71120691 94827588 126436784 142241382 189655176 284482764 379310352 568965528 1137931056