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131047470 = 2355199271
BaseRepresentation
bin1111100111110…
…10000000101110
3100010120220100000
413303322000232
5232022004340
621000445130
73150612411
oct763720056
9303526300
10131047470
1167a779a4
1237a797a6
13211c44a8
1413593b78
15b788d30
hex7cfa02e

131047470 has 96 divisors (see below), whose sum is σ = 356428800. Its totient is φ = 34642080.

The previous prime is 131047457. The next prime is 131047481. The reversal of 131047470 is 74740131.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 483435 + ... + 483705.

It is an arithmetic number, because the mean of its divisors is an integer number (3712800).

Almost surely, 2131047470 is an apocalyptic number.

131047470 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 131047470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178214400).

131047470 is an abundant number, since it is smaller than the sum of its proper divisors (225381330).

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

131047470 is a wasteful number, since it uses less digits than its factorization.

131047470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 131047470 is about 11447.5966910090. The cubic root of 131047470 is about 507.9366460559.

The spelling of 131047470 in words is "one hundred thirty-one million, forty-seven thousand, four hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 199 243 270 271 398 405 486 542 597 810 813 995 1194 1215 1355 1626 1791 1990 2430 2439 2710 2985 3582 4065 4878 5373 5970 7317 8130 8955 10746 12195 14634 16119 17910 21951 24390 26865 32238 36585 43902 48357 53730 53929 65853 73170 80595 96714 107858 109755 131706 161190 161787 219510 241785 269645 323574 329265 483570 485361 539290 658530 808935 970722 1456083 1617870 2426805 2912166 4368249 4853610 7280415 8736498 13104747 14560830 21841245 26209494 43682490 65523735 131047470