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130190592 = 283761397
BaseRepresentation
bin1111100001010…
…00110100000000
3100001222100220210
413300220310000
5231312044332
620530234120
73140413260
oct760506400
9301870823
10130190592
1167542134
1237725940
1320c8446c
141340d7a0
15b669ecc
hex7c28d00

130190592 has 144 divisors (see below), whose sum is σ = 403501952. Its totient is φ = 36495360.

The previous prime is 130190591. The next prime is 130190623. The reversal of 130190592 is 295091031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130190591) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 327738 + ... + 328134.

Almost surely, 2130190592 is an apocalyptic number.

130190592 is a gapful number since it is divisible by the number (12) 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 130190592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201750976).

130190592 is an abundant number, since it is smaller than the sum of its proper divisors (273311360).

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

130190592 is an equidigital number, since it uses as much as digits as its factorization.

130190592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 30.

The square root of 130190592 is about 11410.1092019314. The cubic root of 130190592 is about 506.8271452259.

The spelling of 130190592 in words is "one hundred thirty million, one hundred ninety thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 61 64 84 96 112 122 128 168 183 192 224 244 256 336 366 384 397 427 448 488 672 732 768 794 854 896 976 1191 1281 1344 1464 1588 1708 1792 1952 2382 2562 2688 2779 2928 3176 3416 3904 4764 5124 5376 5558 5856 6352 6832 7808 8337 9528 10248 11116 11712 12704 13664 15616 16674 19056 20496 22232 23424 24217 25408 27328 33348 38112 40992 44464 46848 48434 50816 54656 66696 72651 76224 81984 88928 96868 101632 109312 133392 145302 152448 163968 169519 177856 193736 266784 290604 304896 327936 339038 355712 387472 508557 533568 581208 678076 711424 774944 1017114 1067136 1162416 1356152 1549888 2034228 2134272 2324832 2712304 3099776 4068456 4649664 5424608 6199552 8136912 9299328 10849216 16273824 18598656 21698432 32547648 43396864 65095296 130190592