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130236414 = 2373112523
BaseRepresentation
bin1111100001100…
…11111111111110
3100002001200202220
413300303333332
5231320031124
620531230210
73140664000
oct760637776
9302050686
10130236414
1167573600
1237748366
1320c9c289
1413422370
15b678879
hex7c33ffe

130236414 has 96 divisors (see below), whose sum is σ = 334521600. Its totient is φ = 33762960.

The previous prime is 130236413. The next prime is 130236427. The reversal of 130236414 is 414632031.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130236413) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 248757 + ... + 249279.

It is an arithmetic number, because the mean of its divisors is an integer number (3484600).

Almost surely, 2130236414 is an apocalyptic number.

130236414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130236414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167260800).

130236414 is an abundant number, since it is smaller than the sum of its proper divisors (204285186).

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

130236414 is a wasteful number, since it uses less digits than its factorization.

130236414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 571 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 130236414 is about 11412.1169815245. The cubic root of 130236414 is about 506.8865993667.

Adding to 130236414 its reverse (414632031), we get a palindrome (544868445).

The spelling of 130236414 in words is "one hundred thirty million, two hundred thirty-six thousand, four hundred fourteen".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 49 66 77 98 121 147 154 231 242 294 343 363 462 523 539 686 726 847 1029 1046 1078 1569 1617 1694 2058 2541 3138 3234 3661 3773 5082 5753 5929 7322 7546 10983 11319 11506 11858 17259 17787 21966 22638 25627 34518 35574 40271 41503 51254 63283 76881 80542 83006 120813 124509 126566 153762 179389 189849 241626 249018 281897 358778 379698 442981 538167 563794 845691 885962 1076334 1328943 1691382 1973279 2657886 3100867 3946558 5919837 6201734 9302601 11839674 18605202 21706069 43412138 65118207 130236414