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131484360 = 23357157997
BaseRepresentation
bin1111101011001…
…00101011001000
3100011102002122010
413311210223020
5232124444420
621014055520
73154412220
oct765445310
9304362563
10131484360
1168246167
123804a5a0
13213182c7
1413669080
15b8234e0
hex7d64ac8

131484360 has 128 divisors (see below), whose sum is σ = 454129920. Its totient is φ = 29832192.

The previous prime is 131484359. The next prime is 131484383. The reversal of 131484360 is 63484131.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 131382 + ... + 132378.

It is an arithmetic number, because the mean of its divisors is an integer number (3547890).

Almost surely, 2131484360 is an apocalyptic number.

131484360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131484360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227064960).

131484360 is an abundant number, since it is smaller than the sum of its proper divisors (322645560).

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

131484360 is a wasteful number, since it uses less digits than its factorization.

With its successor (131484361) it forms an eRAP, since the sums of their prime factors are consecutive (1175 and 1176).

131484360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1175 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 131484360 is about 11466.6629844955. The cubic root of 131484360 is about 508.5004781058.

The spelling of 131484360 in words is "one hundred thirty-one million, four hundred eighty-four thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 157 168 210 280 314 420 471 628 785 840 942 997 1099 1256 1570 1884 1994 2198 2355 2991 3140 3297 3768 3988 4396 4710 4985 5495 5982 6280 6594 6979 7976 8792 9420 9970 10990 11964 13188 13958 14955 16485 18840 19940 20937 21980 23928 26376 27916 29910 32970 34895 39880 41874 43960 55832 59820 65940 69790 83748 104685 119640 131880 139580 156529 167496 209370 279160 313058 418740 469587 626116 782645 837480 939174 1095703 1252232 1565290 1878348 2191406 2347935 3130580 3287109 3756696 4382812 4695870 5478515 6261160 6574218 8765624 9391740 10957030 13148436 16435545 18783480 21914060 26296872 32871090 43828120 65742180 131484360