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131367400 = 2352701937
BaseRepresentation
bin1111101010010…
…00000111101000
3100011012011012021
413311020013220
5232112224100
621011354224
73153414223
oct765100750
9304164167
10131367400
11681762aa
1237bb2974
13212a6cb8
14136385ba
15b7eda1a
hex7d481e8

131367400 has 48 divisors (see below), whose sum is σ = 306191340. Its totient is φ = 52416000.

The previous prime is 131367373. The next prime is 131367407. The reversal of 131367400 is 4763131.

It can be written as a sum of positive squares in 6 ways, for example, as 38167684 + 93199716 = 6178^2 + 9654^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (131367407) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 139732 + ... + 140668.

Almost surely, 2131367400 is an apocalyptic number.

131367400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131367400 is an abundant number, since it is smaller than the sum of its proper divisors (174823940).

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

131367400 is a wasteful number, since it uses less digits than its factorization.

131367400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1654 (or 1645 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 25.

The square root of 131367400 is about 11461.5618481950. The cubic root of 131367400 is about 508.3496569753.

The spelling of 131367400 in words is "one hundred thirty-one million, three hundred sixty-seven thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 701 937 1402 1874 2804 3505 3748 4685 5608 7010 7496 9370 14020 17525 18740 23425 28040 35050 37480 46850 70100 93700 140200 187400 656837 1313674 2627348 3284185 5254696 6568370 13136740 16420925 26273480 32841850 65683700 131367400