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131126520 = 23357374219
BaseRepresentation
bin1111101000011…
…01010011111000
3100010201220202210
413310031103320
5232032022040
621002255120
73151362030
oct764152370
9303656683
10131126520
1168021328
1237ab74a0
1321221475
14135b48c0
15b7a2480
hex7d0d4f8

131126520 has 128 divisors (see below), whose sum is σ = 461836800. Its totient is φ = 29154816.

The previous prime is 131126509. The next prime is 131126521. The reversal of 131126520 is 25621131.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131126521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28971 + ... + 33189.

It is an arithmetic number, because the mean of its divisors is an integer number (3608100).

Almost surely, 2131126520 is an apocalyptic number.

131126520 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 131126520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230918400).

131126520 is an abundant number, since it is smaller than the sum of its proper divisors (330710280).

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

131126520 is a wasteful number, since it uses less digits than its factorization.

131126520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4277 (or 4273 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 131126520 is about 11451.0488602573. The cubic root of 131126520 is about 508.0387574538.

Adding to 131126520 its reverse (25621131), we get a palindrome (156747651).

The spelling of 131126520 in words is "one hundred thirty-one million, one hundred twenty-six thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 37 40 42 56 60 70 74 84 105 111 120 140 148 168 185 210 222 259 280 296 370 420 444 518 555 740 777 840 888 1036 1110 1295 1480 1554 2072 2220 2590 3108 3885 4219 4440 5180 6216 7770 8438 10360 12657 15540 16876 21095 25314 29533 31080 33752 42190 50628 59066 63285 84380 88599 101256 118132 126570 147665 156103 168760 177198 236264 253140 295330 312206 354396 442995 468309 506280 590660 624412 708792 780515 885990 936618 1092721 1181320 1248824 1561030 1771980 1873236 2185442 2341545 3122060 3278163 3543960 3746472 4370884 4683090 5463605 6244120 6556326 8741768 9366180 10927210 13112652 16390815 18732360 21854420 26225304 32781630 43708840 65563260 131126520