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1063387136 = 21771961
BaseRepresentation
bin111111011000100…
…000000000000000
32202002221122220202
4333120200000000
54134211342021
6253304024332
735231433020
oct7730400000
92662848822
101063387136
114a6288549
122581620a8
1313c401a76
14a132ba80
1563552a0b
hex3f620000

1063387136 has 144 divisors (see below), whose sum is σ = 2600458560. Its totient is φ = 424673280.

The previous prime is 1063387133. The next prime is 1063387147. The reversal of 1063387136 is 6317833601.

It is a super-2 number, since 2×10633871362 = 2261584402020564992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a self number, because there is not a number n which added to its sum of digits gives 1063387136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1063387133) 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, 17432546 + ... + 17432606.

It is an arithmetic number, because the mean of its divisors is an integer number (18058740).

Almost surely, 21063387136 is an apocalyptic number.

1063387136 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 1063387136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300229280).

1063387136 is an abundant number, since it is smaller than the sum of its proper divisors (1537071424).

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

1063387136 is an frugal number, since it uses more digits than its factorization.

1063387136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 38.

The square root of 1063387136 is about 32609.6172317309. The cubic root of 1063387136 is about 1020.6976951551.

The spelling of 1063387136 in words is "one billion, sixty-three million, three hundred eighty-seven thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 61 64 76 112 122 128 133 152 224 244 256 266 304 427 448 488 512 532 608 854 896 976 1024 1064 1159 1216 1708 1792 1952 2048 2128 2318 2432 3416 3584 3904 4096 4256 4636 4864 6832 7168 7808 8113 8192 8512 9272 9728 13664 14336 15616 16226 16384 17024 18544 19456 27328 28672 31232 32452 32768 34048 37088 38912 54656 57344 62464 64904 65536 68096 74176 77824 109312 114688 124928 129808 131072 136192 148352 155648 218624 229376 249856 259616 272384 296704 311296 437248 458752 499712 519232 544768 593408 622592 874496 917504 999424 1038464 1089536 1186816 1245184 1748992 1998848 2076928 2179072 2373632 2490368 3497984 3997696 4153856 4358144 4747264 6995968 7995392 8307712 8716288 9494528 13991936 16615424 17432576 18989056 27983872 33230848 37978112 55967744 66461696 75956224 132923392 151912448 265846784 531693568 1063387136