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1131642888 = 2331922910837
BaseRepresentation
bin100001101110011…
…1000000000001000
32220212101102012120
41003130320000020
54304200033023
6304143011240
740020543255
oct10334700010
92825342176
101131642888
11530868062
12276b99b20
131505ac69c
14aa41842c
15695368e3
hex43738008

1131642888 has 64 divisors (see below), whose sum is σ = 2991288000. Its totient is φ = 355767552.

The previous prime is 1131642887. The next prime is 1131642913. The reversal of 1131642888 is 8882461311.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1131642881) 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, 99006 + ... + 109842.

It is an arithmetic number, because the mean of its divisors is an integer number (46738875).

Almost surely, 21131642888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1131642888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1495644000).

1131642888 is an abundant number, since it is smaller than the sum of its proper divisors (1859645112).

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

1131642888 is a wasteful number, since it uses less digits than its factorization.

1131642888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11094 (or 11090 counting only the distinct ones).

The product of its digits is 73728, while the sum is 42.

The square root of 1131642888 is about 33639.9002376642. The cubic root of 1131642888 is about 1042.0849716357.

The spelling of 1131642888 in words is "one billion, one hundred thirty-one million, six hundred forty-two thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 229 456 458 687 916 1374 1832 2748 4351 5496 8702 10837 13053 17404 21674 26106 32511 34808 43348 52212 65022 86696 104424 130044 205903 260088 411806 617709 823612 1235418 1647224 2470836 2481673 4941672 4963346 7445019 9926692 14890038 19853384 29780076 47151787 59560152 94303574 141455361 188607148 282910722 377214296 565821444 1131642888