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131454720 = 2832511411
BaseRepresentation
bin1111101010111…
…01011100000000
3100011100120222100
413311131130000
5232123022340
621013310400
73154226625
oct765353400
9304316870
10131454720
1168225971
1238035400
1321307977
141365c34c
15b819830
hex7d5d700

131454720 has 108 divisors (see below), whose sum is σ = 454859496. Its totient is φ = 35051520.

The previous prime is 131454703. The next prime is 131454721. The reversal of 131454720 is 27454131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131454721) 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, 5815 + ... + 17225.

It is an arithmetic number, because the mean of its divisors is an integer number (4211662).

Almost surely, 2131454720 is an apocalyptic number.

131454720 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 131454720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227429748).

131454720 is an abundant number, since it is smaller than the sum of its proper divisors (323404776).

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

131454720 is a wasteful number, since it uses less digits than its factorization.

131454720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11438 (or 11421 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 131454720 is about 11465.3704693743. The cubic root of 131454720 is about 508.4622654827.

The spelling of 131454720 in words is "one hundred thirty-one million, four hundred fifty-four thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 576 640 720 768 960 1152 1280 1440 1920 2304 2880 3840 5760 11411 11520 22822 34233 45644 57055 68466 91288 102699 114110 136932 171165 182576 205398 228220 273864 342330 365152 410796 456440 513495 547728 684660 730304 821592 912880 1026990 1095456 1369320 1460608 1643184 1825760 2053980 2190912 2738640 2921216 3286368 3651520 4107960 4381824 5477280 6572736 7303040 8215920 8763648 10954560 13145472 14606080 16431840 21909120 26290944 32863680 43818240 65727360 131454720