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130675416 = 233313747101
BaseRepresentation
bin1111100100111…
…11001011011000
3100002212222222020
413302133023120
5231423103131
620544454440
73144502614
oct762371330
9302788866
10130675416
1167843413
123791a420
13210c4041
14134d8344
15b713996
hex7c9f2d8

130675416 has 128 divisors (see below), whose sum is σ = 357212160. Its totient is φ = 39744000.

The previous prime is 130675411. The next prime is 130675417. The reversal of 130675416 is 614576031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130675411) 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, 1293766 + ... + 1293866.

It is an arithmetic number, because the mean of its divisors is an integer number (2790720).

Almost surely, 2130675416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130675416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178606080).

130675416 is an abundant number, since it is smaller than the sum of its proper divisors (226536744).

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

130675416 is a wasteful number, since it uses less digits than its factorization.

130675416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 130675416 is about 11431.3348301937. The cubic root of 130675416 is about 507.4554998311.

The spelling of 130675416 in words is "one hundred thirty million, six hundred seventy-five thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 31 37 47 62 74 93 94 101 111 124 141 148 186 188 202 222 248 282 296 303 372 376 404 444 564 606 744 808 888 1128 1147 1212 1457 1739 2294 2424 2914 3131 3441 3478 3737 4371 4588 4747 5217 5828 6262 6882 6956 7474 8742 9176 9393 9494 10434 11211 11656 12524 13764 13912 14241 14948 17484 18786 18988 20868 22422 25048 27528 28482 29896 34968 37572 37976 41736 44844 53909 56964 75144 89688 107818 113928 115847 147157 161727 175639 215636 231694 294314 323454 347541 351278 431272 441471 463388 526917 588628 646908 695082 702556 882942 926776 1053834 1177256 1293816 1390164 1405112 1765884 2107668 2780328 3531768 4215336 5444809 10889618 16334427 21779236 32668854 43558472 65337708 130675416