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131521520 = 245131743173
BaseRepresentation
bin1111101011011…
…01101111110000
3100011110222121102
413311231233300
5232132142040
621014543532
73154625444
oct765555760
9304428542
10131521520
1168271079
1238067ba8
132132c1b0
1413678824
15b82e515
hex7d6dbf0

131521520 has 160 divisors (see below), whose sum is σ = 358852032. Its totient is φ = 44384256.

The previous prime is 131521501. The next prime is 131521531. The reversal of 131521520 is 25125131.

It is a happy number.

It is a super-2 number, since 2×1315215202 = 34595820446220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 131521492 and 131521501.

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, 760154 + ... + 760326.

Almost surely, 2131521520 is an apocalyptic number.

131521520 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 131521520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179426016).

131521520 is an abundant number, since it is smaller than the sum of its proper divisors (227330512).

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

131521520 is a wasteful number, since it uses less digits than its factorization.

131521520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 20.

The square root of 131521520 is about 11468.2832193838. The cubic root of 131521520 is about 508.5483775871.

Adding to 131521520 its reverse (25125131), we get a palindrome (156646651).

The spelling of 131521520 in words is "one hundred thirty-one million, five hundred twenty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 17 20 26 34 40 43 52 65 68 80 85 86 104 130 136 170 172 173 208 215 221 260 272 340 344 346 430 442 520 559 680 688 692 731 860 865 884 1040 1105 1118 1360 1384 1462 1720 1730 1768 2210 2236 2249 2768 2795 2924 2941 3440 3460 3536 3655 4420 4472 4498 5590 5848 5882 6920 7310 7439 8840 8944 8996 9503 11180 11245 11696 11764 13840 14620 14705 14878 17680 17992 19006 22360 22490 23528 29240 29410 29756 35984 37195 38012 38233 44720 44980 47056 47515 58480 58820 59512 74390 76024 76466 89960 95030 96707 117640 119024 126463 148780 152048 152932 179920 190060 191165 193414 235280 252926 297560 305864 380120 382330 386828 483535 505852 595120 611728 632315 760240 764660 773656 967070 1011704 1264630 1529320 1547312 1644019 1934140 2023408 2529260 3058640 3288038 3868280 5058520 6576076 7736560 8220095 10117040 13152152 16440190 26304304 32880380 65760760 131521520