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63107072 = 21273171
BaseRepresentation
bin1111000010111…
…1000000000000
311101202011121222
43300233000000
5112123411242
610132334212
71364254430
oct360570000
9141664558
1063107072
1132693306
1219174368
13100c7282
14854a2c0
1558185d2
hex3c2f000

63107072 has 104 divisors (see below), whose sum is σ = 150976512. Its totient is φ = 25804800.

The previous prime is 63107071. The next prime is 63107137. The reversal of 63107072 is 27070136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (63107071) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 888797 + ... + 888867.

Almost surely, 263107072 is an apocalyptic number.

63107072 is a gapful number since it is divisible by the number (62) 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 63107072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75488256).

63107072 is an abundant number, since it is smaller than the sum of its proper divisors (87869440).

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

63107072 is an equidigital number, since it uses as much as digits as its factorization.

63107072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 26.

The square root of 63107072 is about 7943.9959718016. The cubic root of 63107072 is about 398.1310141644.

The spelling of 63107072 in words is "sixty-three million, one hundred seven thousand, seventy-two".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 64 71 112 124 128 142 217 224 248 256 284 434 448 496 497 512 568 868 896 992 994 1024 1136 1736 1792 1984 1988 2048 2201 2272 3472 3584 3968 3976 4096 4402 4544 6944 7168 7936 7952 8804 9088 13888 14336 15407 15872 15904 17608 18176 27776 28672 30814 31744 31808 35216 36352 55552 61628 63488 63616 70432 72704 111104 123256 126976 127232 140864 145408 222208 246512 254464 281728 290816 444416 493024 508928 563456 888832 986048 1017856 1126912 1972096 2035712 2253824 3944192 4507648 7888384 9015296 15776768 31553536 63107072