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1138936832 = 21011101113
BaseRepresentation
bin100001111100010…
…1100110000000000
32221101002222121122
41003320230300000
54313031434312
6305003211412
740136542355
oct10370546000
92841088548
101138936832
1153499a110
12279516b68
13151c64627
14ab39662c
1569ec7b72
hex43e2cc00

1138936832 has 44 divisors (see below), whose sum is σ = 2483764296. Its totient is φ = 517693440.

The previous prime is 1138936789. The next prime is 1138936837. The reversal of 1138936832 is 2386398311.

It is a tau number, because it is divible by the number of its divisors (44).

It is a super-3 number, since 3×11389368323 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1138936837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 39293 + ... + 61820.

Almost surely, 21138936832 is an apocalyptic number.

It is an amenable number.

1138936832 is an abundant number, since it is smaller than the sum of its proper divisors (1344827464).

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

1138936832 is a wasteful number, since it uses less digits than its factorization.

1138936832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101144 (or 101126 counting only the distinct ones).

The product of its digits is 186624, while the sum is 44.

The square root of 1138936832 is about 33748.1382004993. The cubic root of 1138936832 is about 1044.3190796196.

The spelling of 1138936832 in words is "one billion, one hundred thirty-eight million, nine hundred thirty-six thousand, eight hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1024 1408 2816 5632 11264 101113 202226 404452 808904 1112243 1617808 2224486 3235616 4448972 6471232 8897944 12942464 17795888 25884928 35591776 51769856 71183552 103539712 142367104 284734208 569468416 1138936832