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130746384 = 243229131239
BaseRepresentation
bin1111100101100…
…00100000010000
3100010000121022200
413302300200100
5231432341014
620550203200
73145216536
oct762604020
9303017280
10130746384
116789176a
1237953500
132111a432
1413516156
15b729a09
hex7cb0810

130746384 has 120 divisors (see below), whose sum is σ = 383011200. Its totient is φ = 41583360.

The previous prime is 130746379. The next prime is 130746463. The reversal of 130746384 is 483647031.

130746384 is a `hidden beast` number, since 13 + 0 + 7 + 4 + 638 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 546937 + ... + 547175.

It is an arithmetic number, because the mean of its divisors is an integer number (3191760).

Almost surely, 2130746384 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 130746384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191505600).

130746384 is an abundant number, since it is smaller than the sum of its proper divisors (252264816).

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

130746384 is a wasteful number, since it uses less digits than its factorization.

130746384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 130746384 is about 11434.4385082959. The cubic root of 130746384 is about 507.5473472129.

The spelling of 130746384 in words is "one hundred thirty million, seven hundred forty-six thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 131 144 174 232 239 261 262 348 393 464 478 522 524 696 717 786 956 1044 1048 1179 1392 1434 1572 1912 2088 2096 2151 2358 2868 3144 3799 3824 4176 4302 4716 5736 6288 6931 7598 8604 9432 11397 11472 13862 15196 17208 18864 20793 22794 27724 30392 31309 34191 34416 41586 45588 55448 60784 62379 62618 68382 83172 91176 93927 110896 124758 125236 136764 166344 182352 187854 249516 250472 273528 281781 332688 375708 499032 500944 547056 563562 751416 907961 998064 1127124 1502832 1815922 2254248 2723883 3631844 4508496 5447766 7263688 8171649 10895532 14527376 16343298 21791064 32686596 43582128 65373192 130746384