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1135039136 = 2574111779
BaseRepresentation
bin100001110100111…
…0101001010100000
32221002202221222112
41003221311022200
54311032223021
6304343454452
740061450000
oct10351651240
92832687875
101135039136
11532777780
12278157428
131511cb4ba
14aaa60000
15699a7d5b
hex43a752a0

1135039136 has 240 divisors, whose sum is σ = 3049280640. Its totient is φ = 410941440.

The previous prime is 1135039093. The next prime is 1135039159. The reversal of 1135039136 is 6319305311.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a nialpdrome in base 14.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14367545 + ... + 14367623.

It is an arithmetic number, because the mean of its divisors is an integer number (12705336).

Almost surely, 21135039136 is an apocalyptic number.

1135039136 is a gapful number since it is divisible by the number (16) 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 1135039136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1524640320).

1135039136 is an abundant number, since it is smaller than the sum of its proper divisors (1914241504).

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

1135039136 is an equidigital number, since it uses as much as digits as its factorization.

1135039136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 32.

The square root of 1135039136 is about 33690.3418801294. The cubic root of 1135039136 is about 1043.1264204223.

The spelling of 1135039136 in words is "one billion, one hundred thirty-five million, thirty-nine thousand, one hundred thirty-six".