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1114972032 = 27328110333
BaseRepresentation
bin100001001110101…
…0001111110000000
32212201000110002110
41002131101332000
54240413101112
6302345415320
736426051216
oct10235217600
92781013073
101114972032
11522410a99
1227149a540
13149cc3685
14a8118cb6
1567d4213c
hex42751f80

1114972032 has 64 divisors (see below), whose sum is σ = 2972471760. Its totient is φ = 370298880.

The previous prime is 1114972021. The next prime is 1114972049. The reversal of 1114972032 is 2302794111.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 102738 + ... + 113070.

Almost surely, 21114972032 is an apocalyptic number.

1114972032 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 1114972032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1486235880).

1114972032 is an abundant number, since it is smaller than the sum of its proper divisors (1857499728).

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

1114972032 is a wasteful number, since it uses less digits than its factorization.

1114972032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10631 (or 10619 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 1114972032 is about 33391.1969237402. The cubic root of 1114972032 is about 1036.9424596580.

The spelling of 1114972032 in words is "one billion, one hundred fourteen million, nine hundred seventy-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 281 384 562 843 1124 1686 2248 3372 4496 6744 8992 10333 13488 17984 20666 26976 30999 35968 41332 53952 61998 82664 107904 123996 165328 247992 330656 495984 661312 991968 1322624 1983936 2903573 3967872 5807146 8710719 11614292 17421438 23228584 34842876 46457168 69685752 92914336 139371504 185828672 278743008 371657344 557486016 1114972032