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131748390 = 2335835879
BaseRepresentation
bin1111101101001…
…01001000100110
3100011220111211000
413312211020212
5232211422030
621023454130
73156562044
oct766451046
9304814730
10131748390
1168406574
1238157346
13213ab537
14136d7394
15b876860
hex7da5226

131748390 has 64 divisors (see below), whose sum is σ = 355622400. Its totient is φ = 34703712.

The previous prime is 131748389. The next prime is 131748401. The reversal of 131748390 is 93847131.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19471 + ... + 25349.

It is an arithmetic number, because the mean of its divisors is an integer number (5556600).

Almost surely, 2131748390 is an apocalyptic number.

131748390 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131748390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177811200).

131748390 is an abundant number, since it is smaller than the sum of its proper divisors (223874010).

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

131748390 is a wasteful number, since it uses less digits than its factorization.

131748390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5978 (or 5972 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 131748390 is about 11478.1701503332. The cubic root of 131748390 is about 508.8406189759.

The spelling of 131748390 in words is "one hundred thirty-one million, seven hundred forty-eight thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 83 90 135 166 249 270 415 498 747 830 1245 1494 2241 2490 3735 4482 5879 7470 11205 11758 17637 22410 29395 35274 52911 58790 88185 105822 158733 176370 264555 317466 487957 529110 793665 975914 1463871 1587330 2439785 2927742 4391613 4879570 7319355 8783226 13174839 14638710 21958065 26349678 43916130 65874195 131748390