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1131887904 = 25372337229
BaseRepresentation
bin100001101110111…
…0011110100100000
32220212211212022020
41003131303310200
54304230403104
6304152141440
740022613510
oct10335636440
92825755266
101131887904
11530a15154
12277097880
13150667074
14aa47d840
15695842d9
hex43773d20

1131887904 has 96 divisors (see below), whose sum is σ = 3410709120. Its totient is φ = 321964032.

The previous prime is 1131887873. The next prime is 1131887923. The reversal of 1131887904 is 4097881311.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152962 + ... + 160190.

It is an arithmetic number, because the mean of its divisors is an integer number (35528220).

Almost surely, 21131887904 is an apocalyptic number.

1131887904 is a gapful number since it is divisible by the number (14) 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 1131887904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1705354560).

1131887904 is an abundant number, since it is smaller than the sum of its proper divisors (2278821216).

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

1131887904 is a wasteful number, since it uses less digits than its factorization.

1131887904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7482 (or 7474 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 42.

The square root of 1131887904 is about 33643.5417873921. The cubic root of 1131887904 is about 1042.1601747081.

The spelling of 1131887904 in words is "one billion, one hundred thirty-one million, eight hundred eighty-seven thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 233 336 466 672 699 932 1398 1631 1864 2796 3262 3728 4893 5592 6524 7229 7456 9786 11184 13048 14458 19572 21687 22368 26096 28916 39144 43374 50603 52192 57832 78288 86748 101206 115664 151809 156576 173496 202412 231328 303618 346992 404824 607236 693984 809648 1214472 1619296 1684357 2428944 3368714 4857888 5053071 6737428 10106142 11790499 13474856 20212284 23580998 26949712 35371497 40424568 47161996 53899424 70742994 80849136 94323992 141485988 161698272 188647984 282971976 377295968 565943952 1131887904