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1231989920 = 255710110891
BaseRepresentation
bin100100101101110…
…1010110010100000
310011212012120110022
41021123222302200
510010342134140
6322125453012
742346512230
oct11133526240
93155176408
101231989920
11582476297
122a4711168
13168315125
14b9899cc0
15732590b5
hex496eaca0

1231989920 has 96 divisors (see below), whose sum is σ = 3359615616. Its totient is φ = 418176000.

The previous prime is 1231989877. The next prime is 1231989937. The reversal of 1231989920 is 299891321.

It is a happy number.

It is a super-3 number, since 3×12319899203 (a number of 28 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107675 + ... + 118565.

It is an arithmetic number, because the mean of its divisors is an integer number (34995996).

Almost surely, 21231989920 is an apocalyptic number.

1231989920 is a gapful number since it is divisible by the number (10) 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 1231989920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1679807808).

1231989920 is an abundant number, since it is smaller than the sum of its proper divisors (2127625696).

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

1231989920 is a wasteful number, since it uses less digits than its factorization.

1231989920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11014 (or 11006 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 44.

The square root of 1231989920 is about 35099.7139589484. The cubic root of 1231989920 is about 1072.0187584896.

The spelling of 1231989920 in words is "one billion, two hundred thirty-one million, nine hundred eighty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 101 112 140 160 202 224 280 404 505 560 707 808 1010 1120 1414 1616 2020 2828 3232 3535 4040 5656 7070 8080 10891 11312 14140 16160 21782 22624 28280 43564 54455 56560 76237 87128 108910 113120 152474 174256 217820 304948 348512 381185 435640 609896 762370 871280 1099991 1219792 1524740 1742560 2199982 2439584 3049480 4399964 5499955 6098960 7699937 8799928 10999910 12197920 15399874 17599856 21999820 30799748 35199712 38499685 43999640 61599496 76999370 87999280 123198992 153998740 175998560 246397984 307997480 615994960 1231989920