Search a number
-
+
1231189920 = 25325854993
BaseRepresentation
bin100100101100010…
…0111011110100000
310011210200221001200
41021120213132200
510010141034140
6322100401200
742336640662
oct11130473640
93153627050
101231189920
11581a7a234
122a43a6200
131680c4c5c
14b972c532
157314c030
hex496277a0

1231189920 has 72 divisors (see below), whose sum is σ = 4201440516. Its totient is φ = 328316928.

The previous prime is 1231189909. The next prime is 1231189937. The reversal of 1231189920 is 299811321.

It can be written as a sum of positive squares in 2 ways, for example, as 1228642704 + 2547216 = 35052^2 + 1596^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 426057 + ... + 428936.

Almost surely, 21231189920 is an apocalyptic number.

1231189920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1231189920 is an abundant number, since it is smaller than the sum of its proper divisors (2970250596).

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

1231189920 is a wasteful number, since it uses less digits than its factorization.

1231189920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855014 (or 855003 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 1231189920 is about 35088.3160040490. The cubic root of 1231189920 is about 1071.7866676550.

The spelling of 1231189920 in words is "one billion, two hundred thirty-one million, one hundred eighty-nine thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 854993 1709986 2564979 3419972 4274965 5129958 6839944 7694937 8549930 10259916 12824895 13679888 15389874 17099860 20519832 25649790 27359776 30779748 34199720 38474685 41039664 51299580 61559496 68399440 76949370 82079328 102599160 123118992 136798880 153898740 205198320 246237984 307797480 410396640 615594960 1231189920