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131824980 = 223257104623
BaseRepresentation
bin1111101101101…
…11110101010100
3100012001101212200
413312313311110
5232221344410
621025244500
73160331250
oct766676524
9305041780
10131824980
1168459071
1238193730
1321407361
1413717260
15b88e3c0
hex7db7d54

131824980 has 72 divisors (see below), whose sum is σ = 456997632. Its totient is φ = 30131136.

The previous prime is 131824961. The next prime is 131824997. The reversal of 131824980 is 89428131.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51052 + ... + 53571.

Almost surely, 2131824980 is an apocalyptic number.

131824980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131824980 is an abundant number, since it is smaller than the sum of its proper divisors (325172652).

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

131824980 is a wasteful number, since it uses less digits than its factorization.

131824980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104645 (or 104640 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 131824980 is about 11481.5059987791. The cubic root of 131824980 is about 508.9392022262.

The spelling of 131824980 in words is "one hundred thirty-one million, eight hundred twenty-four thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 104623 209246 313869 418492 523115 627738 732361 941607 1046230 1255476 1464722 1569345 1883214 2092460 2197083 2929444 3138690 3661805 3766428 4394166 4708035 6277380 6591249 7323610 8788332 9416070 10985415 13182498 14647220 18832140 21970830 26364996 32956245 43941660 65912490 131824980