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130166520 = 233511313181
BaseRepresentation
bin1111100001000…
…10111011111000
3100001221010220020
413300202323320
5231310312040
620525530440
73140253141
oct760427370
9301833806
10130166520
1167526040
1237713a20
1320c76513
1413404ac8
15b662cd0
hex7c22ef8

130166520 has 128 divisors (see below), whose sum is σ = 439879680. Its totient is φ = 30528000.

The previous prime is 130166507. The next prime is 130166527. The reversal of 130166520 is 25661031.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130166527) 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, 39330 + ... + 42510.

It is an arithmetic number, because the mean of its divisors is an integer number (3436560).

Almost surely, 2130166520 is an apocalyptic number.

130166520 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 130166520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219939840).

130166520 is an abundant number, since it is smaller than the sum of its proper divisors (309713160).

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

130166520 is a wasteful number, since it uses less digits than its factorization.

130166520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3237 (or 3233 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 130166520 is about 11409.0542991082. The cubic root of 130166520 is about 506.7959061662.

The spelling of 130166520 in words is "one hundred thirty million, one hundred sixty-six thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 31 33 40 44 55 60 62 66 88 93 110 120 124 132 155 165 186 220 248 264 310 330 341 372 440 465 620 660 682 744 930 1023 1240 1320 1364 1705 1860 2046 2728 3181 3410 3720 4092 5115 6362 6820 8184 9543 10230 12724 13640 15905 19086 20460 25448 31810 34991 38172 40920 47715 63620 69982 76344 95430 98611 104973 127240 139964 174955 190860 197222 209946 279928 295833 349910 381720 394444 419892 493055 524865 591666 699820 788888 839784 986110 1049730 1084721 1183332 1399640 1479165 1972220 2099460 2169442 2366664 2958330 3254163 3944440 4198920 4338884 5423605 5916660 6508326 8677768 10847210 11833320 13016652 16270815 21694420 26033304 32541630 43388840 65083260 130166520