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131800920 = 23351098341
BaseRepresentation
bin1111101101100…
…01111101011000
3100012000011212120
413312301331120
5232220112140
621024541240
73160201146
oct766617530
9305004776
10131800920
1168441a89
1238181820
13213c9414
141370c596
15b8871d0
hex7db1f58

131800920 has 32 divisors (see below), whose sum is σ = 395403120. Its totient is φ = 35146880.

The previous prime is 131800883. The next prime is 131800927. The reversal of 131800920 is 29008131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131800927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 549051 + ... + 549290.

Almost surely, 2131800920 is an apocalyptic number.

131800920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131800920 is an abundant number, since it is smaller than the sum of its proper divisors (263602200).

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

131800920 is a wasteful number, since it uses less digits than its factorization.

131800920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098355 (or 1098351 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 24.

The square root of 131800920 is about 11480.4581790101. The cubic root of 131800920 is about 508.9082373760.

The spelling of 131800920 in words is "one hundred thirty-one million, eight hundred thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1098341 2196682 3295023 4393364 5491705 6590046 8786728 10983410 13180092 16475115 21966820 26360184 32950230 43933640 65900460 131800920