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1138947936 = 25373154673
BaseRepresentation
bin100001111100010…
…1111011101100000
32221101010112211220
41003320233131200
54313032313221
6305003335040
740136616630
oct10370573540
92841115756
101138947936
115349a7495
12279521480
13151c696b9
14ab39a6c0
1569ecb0c6
hex43e2f760

1138947936 has 96 divisors (see below), whose sum is σ = 3527129088. Its totient is φ = 314910720.

The previous prime is 1138947917. The next prime is 1138947937. The reversal of 1138947936 is 6397498311.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1138947937) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6505 + ... + 48168.

It is an arithmetic number, because the mean of its divisors is an integer number (36740928).

Almost surely, 21138947936 is an apocalyptic number.

1138947936 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 1138947936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1763564544).

1138947936 is an abundant number, since it is smaller than the sum of its proper divisors (2388181152).

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

1138947936 is a wasteful number, since it uses less digits than its factorization.

1138947936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54724 (or 54716 counting only the distinct ones).

The product of its digits is 979776, while the sum is 51.

The square root of 1138947936 is about 33748.3027128773. The cubic root of 1138947936 is about 1044.3224734518.

The spelling of 1138947936 in words is "one billion, one hundred thirty-eight million, nine hundred forty-seven thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 84 93 96 112 124 168 186 217 224 248 336 372 434 496 651 672 744 868 992 1302 1488 1736 2604 2976 3472 5208 6944 10416 20832 54673 109346 164019 218692 328038 382711 437384 656076 765422 874768 1148133 1312152 1530844 1694863 1749536 2296266 2624304 3061688 3389726 4592532 5084589 5248608 6123376 6779452 9185064 10169178 11864041 12246752 13558904 18370128 20338356 23728082 27117808 35592123 36740256 40676712 47456164 54235616 71184246 81353424 94912328 142368492 162706848 189824656 284736984 379649312 569473968 1138947936