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1140232632 = 23371141101149
BaseRepresentation
bin100001111110110…
…1001000110111000
32221110112211010020
41003331221012320
54313344421012
6305051050440
740153550250
oct10375510670
92843484106
101140232632
115356a4720
12279a40a20
131522c9386
14ab612960
156a181a8c
hex43f691b8

1140232632 has 256 divisors, whose sum is σ = 3701376000. Its totient is φ = 284160000.

The previous prime is 1140232609. The next prime is 1140232633. The reversal of 1140232632 is 2362320411.

1140232632 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1140232633) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7652494 + ... + 7652642.

It is an arithmetic number, because the mean of its divisors is an integer number (14458500).

Almost surely, 21140232632 is an apocalyptic number.

1140232632 is a gapful number since it is divisible by the number (12) 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 1140232632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1850688000).

1140232632 is an abundant number, since it is smaller than the sum of its proper divisors (2561143368).

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

1140232632 is a wasteful number, since it uses less digits than its factorization.

1140232632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 1140232632 is about 33767.3308391410. The cubic root of 1140232632 is about 1044.7149797690.

The spelling of 1140232632 in words is "one billion, one hundred forty million, two hundred thirty-two thousand, six hundred thirty-two".