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1383104736 = 253213369419
BaseRepresentation
bin101001001110000…
…1000000011100000
310120101120000000100
41102130020003200
510313033322421
6345124422400
746163124216
oct12234100340
93511500010
101383104736
1164a7aa072
12327247a00
13190714590
14d1994cb6
1581658c26
hex527080e0

1383104736 has 72 divisors (see below), whose sum is σ = 4235769720. Its totient is φ = 425569536.

The previous prime is 1383104713. The next prime is 1383104741. The reversal of 1383104736 is 6374013831.

It is a tau number, because it is divible by the number of its divisors (72).

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 1383104736.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 180966 + ... + 188453.

It is an arithmetic number, because the mean of its divisors is an integer number (58830135).

Almost surely, 21383104736 is an apocalyptic number.

1383104736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1383104736 is an abundant number, since it is smaller than the sum of its proper divisors (2852664984).

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

1383104736 is a wasteful number, since it uses less digits than its factorization.

1383104736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369448 (or 369437 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 1383104736 is about 37190.1161062990. The cubic root of 1383104736 is about 1114.1705873730.

The spelling of 1383104736 in words is "one billion, three hundred eighty-three million, one hundred four thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 369419 738838 1108257 1477676 2216514 2955352 3324771 4433028 4802447 5910704 6649542 8866056 9604894 11821408 13299084 14407341 17732112 19209788 26598168 28814682 35464224 38419576 43222023 53196336 57629364 76839152 86444046 106392672 115258728 153678304 172888092 230517456 345776184 461034912 691552368 1383104736