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1013731992 = 2332721323312
BaseRepresentation
bin111100011011000…
…101001010011000
32121122111220212100
4330123011022120
54034003410432
6244331443400
734056402600
oct7433051230
92548456770
101013731992
11480252939
122435b6560
13132037620
14988c3c00
155dee507c
hex3c6c5298

1013731992 has 432 divisors, whose sum is σ = 3708497520. Its totient is φ = 247484160.

The previous prime is 1013731991. The next prime is 1013731997. The reversal of 1013731992 is 2991373101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013731991) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 32701017 + ... + 32701047.

It is an arithmetic number, because the mean of its divisors is an integer number (8584485).

Almost surely, 21013731992 is an apocalyptic number.

1013731992 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 1013731992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1854248760).

1013731992 is an abundant number, since it is smaller than the sum of its proper divisors (2694765528).

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

1013731992 is a wasteful number, since it uses less digits than its factorization.

1013731992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 10206, while the sum is 36.

The square root of 1013731992 is about 31839.1581547000. The cubic root of 1013731992 is about 1004.5565371020.

The spelling of 1013731992 in words is "one billion, thirteen million, seven hundred thirty-one thousand, nine hundred ninety-two".