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130364598 = 237213231483
BaseRepresentation
bin1111100010100…
…11010010110110
3100002022012121110
413301103102312
5231333131343
620534055450
73142036500
oct761232266
9302265543
10130364598
1167650941
12377aa586
1321015720
1413456d70
15b6a1833
hex7c534b6

130364598 has 96 divisors (see below), whose sum is σ = 341058816. Its totient is φ = 32864832.

The previous prime is 130364593. The next prime is 130364603. The reversal of 130364598 is 895463031.

It is an interprime number because it is at equal distance from previous prime (130364593) and next prime (130364603).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130364593) 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, 87165 + ... + 88647.

It is an arithmetic number, because the mean of its divisors is an integer number (3552696).

Almost surely, 2130364598 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130364598, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170529408).

130364598 is an abundant number, since it is smaller than the sum of its proper divisors (210694218).

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

130364598 is a wasteful number, since it uses less digits than its factorization.

130364598 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1538 (or 1531 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 130364598 is about 11417.7317362075. The cubic root of 130364598 is about 507.0528443376.

The spelling of 130364598 in words is "one hundred thirty million, three hundred sixty-four thousand, five hundred ninety-eight".

Divisors: 1 2 3 6 7 13 14 21 23 26 39 42 46 49 69 78 91 98 138 147 161 182 273 294 299 322 483 546 598 637 897 966 1127 1274 1483 1794 1911 2093 2254 2966 3381 3822 4186 4449 6279 6762 8898 10381 12558 14651 19279 20762 29302 31143 34109 38558 43953 57837 62286 68218 72667 87906 102327 115674 134953 145334 204654 218001 238763 269906 404859 436002 443417 477526 716289 809718 886834 944671 1330251 1432578 1671341 1889342 2660502 2834013 3103919 3342682 5014023 5668026 6207838 9311757 10028046 18623514 21727433 43454866 65182299 130364598