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131423400 = 23325273013
BaseRepresentation
bin1111101010101…
…01110010101000
3100011022000000100
413311111302220
5232121022100
621012505400
73154036413
oct765256250
9304260010
10131423400
1168204389
123801b260
13212c6634
1413650b7a
15b810400
hex7d55ca8

131423400 has 72 divisors (see below), whose sum is σ = 441369630. Its totient is φ = 35045760.

The previous prime is 131423377. The next prime is 131423401. The reversal of 131423400 is 4324131.

It can be written as a sum of positive squares in 3 ways, for example, as 113934276 + 17489124 = 10674^2 + 4182^2 .

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

It is a super-2 number, since 2×1314234002 = 34544220135120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (131423401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 34707 + ... + 38306.

Almost surely, 2131423400 is an apocalyptic number.

131423400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131423400 is an abundant number, since it is smaller than the sum of its proper divisors (309946230).

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

131423400 is a wasteful number, since it uses less digits than its factorization.

131423400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73035 (or 73023 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 131423400 is about 11464.0045359377. The cubic root of 131423400 is about 508.4218807199.

Adding to 131423400 its reverse (4324131), we get a palindrome (135747531).

The spelling of 131423400 in words is "one hundred thirty-one million, four hundred twenty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 900 1800 73013 146026 219039 292052 365065 438078 584104 657117 730130 876156 1095195 1314234 1460260 1752312 1825325 2190390 2628468 2920520 3285585 3650650 4380780 5256936 5475975 6571170 7301300 8761560 10951950 13142340 14602600 16427925 21903900 26284680 32855850 43807800 65711700 131423400