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131228400 = 24352109357
BaseRepresentation
bin1111101001001…
…10001011110000
3100010221002112010
413310212023300
5232043302100
621004402520
73152265042
oct764461360
9303832463
10131228400
1168090926
1237b46440
1321258954
14135dda92
15b7c2750
hex7d262f0

131228400 has 60 divisors (see below), whose sum is σ = 420372152. Its totient is φ = 34993920.

The previous prime is 131228399. The next prime is 131228407. The reversal of 131228400 is 4822131.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131228407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53479 + ... + 55878.

Almost surely, 2131228400 is an apocalyptic number.

131228400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131228400 is an abundant number, since it is smaller than the sum of its proper divisors (289143752).

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

131228400 is a wasteful number, since it uses less digits than its factorization.

131228400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109378 (or 109367 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 131228400 is about 11455.4964973152. The cubic root of 131228400 is about 508.1702985779.

The spelling of 131228400 in words is "one hundred thirty-one million, two hundred twenty-eight thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 109357 218714 328071 437428 546785 656142 874856 1093570 1312284 1640355 1749712 2187140 2624568 2733925 3280710 4374280 5249136 5467850 6561420 8201775 8748560 10935700 13122840 16403550 21871400 26245680 32807100 43742800 65614200 131228400