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130039224 = 23374347383
BaseRepresentation
bin1111100000000…
…11110110111000
3100001200200021120
413300003312320
5231242223344
620523105240
73136213050
oct760036670
9301620246
10130039224
1167449437
1237672220
1320c305b3
14133b0560
15b63a219
hex7c03db8

130039224 has 128 divisors (see below), whose sum is σ = 389283840. Its totient is φ = 35425152.

The previous prime is 130039223. The next prime is 130039241. The reversal of 130039224 is 422930031.

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

It is a junction number, because it is equal to n+sod(n) for n = 130039194 and 130039203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130039223) 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, 339337 + ... + 339719.

It is an arithmetic number, because the mean of its divisors is an integer number (3041280).

Almost surely, 2130039224 is an apocalyptic number.

130039224 is a gapful number since it is divisible by the number (14) 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 130039224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194641920).

130039224 is an abundant number, since it is smaller than the sum of its proper divisors (259244616).

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

130039224 is a wasteful number, since it uses less digits than its factorization.

130039224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 489 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 130039224 is about 11403.4742074510. The cubic root of 130039224 is about 506.6306457156.

Adding to 130039224 its reverse (422930031), we get a palindrome (552969255).

The spelling of 130039224 in words is "one hundred thirty million, thirty-nine thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 43 47 56 84 86 94 129 141 168 172 188 258 282 301 329 344 376 383 516 564 602 658 766 903 987 1032 1128 1149 1204 1316 1532 1806 1974 2021 2298 2408 2632 2681 3064 3612 3948 4042 4596 5362 6063 7224 7896 8043 8084 9192 10724 12126 14147 16086 16168 16469 18001 21448 24252 28294 32172 32938 36002 42441 48504 49407 54003 56588 64344 65876 72004 84882 98814 108006 113176 115283 126007 131752 144008 169764 197628 216012 230566 252014 339528 345849 378021 395256 432024 461132 504028 691698 756042 774043 922264 1008056 1383396 1512084 1548086 2322129 2766792 3024168 3096172 4644258 5418301 6192344 9288516 10836602 16254903 18577032 21673204 32509806 43346408 65019612 130039224