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1150831040 = 26513925873
BaseRepresentation
bin100010010011000…
…0100100111000000
32222012111021101212
41010212010213000
54324103043130
6310110145252
740342621352
oct10446044700
92865437355
101150831040
11540683437
122814b2228
1315456a418
14acbb10d2
156b076e95
hex449849c0

1150831040 has 56 divisors (see below), whose sum is σ = 2760238320. Its totient is φ = 457003008.

The previous prime is 1150831001. The next prime is 1150831069. The reversal of 1150831040 is 401380511.

It is a junction number, because it is equal to n+sod(n) for n = 1150830997 and 1150831015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31544 + ... + 57416.

It is an arithmetic number, because the mean of its divisors is an integer number (49289970).

Almost surely, 21150831040 is an apocalyptic number.

1150831040 is a gapful number since it is divisible by the number (10) 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 1150831040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1380119160).

1150831040 is an abundant number, since it is smaller than the sum of its proper divisors (1609407280).

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

1150831040 is a wasteful number, since it uses less digits than its factorization.

1150831040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26029 (or 26019 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 23.

The square root of 1150831040 is about 33923.9007191095. The cubic root of 1150831040 is about 1047.9418610795.

The spelling of 1150831040 in words is "one billion, one hundred fifty million, eight hundred thirty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 139 160 278 320 556 695 1112 1390 2224 2780 4448 5560 8896 11120 22240 25873 44480 51746 103492 129365 206984 258730 413968 517460 827936 1034920 1655872 2069840 3596347 4139680 7192694 8279360 14385388 17981735 28770776 35963470 57541552 71926940 115083104 143853880 230166208 287707760 575415520 1150831040