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130002432 = 2937107113
BaseRepresentation
bin1111011111110…
…10111000000000
3100001121210210220
413233322320000
5231240034212
620522223040
73136000560
oct757727000
9301553726
10130002432
116742382a
1237654a80
1320c19921
14133a0da0
15b62e38c
hex7bfae00

130002432 has 160 divisors (see below), whose sum is σ = 403045632. Its totient is φ = 36470784.

The previous prime is 130002421. The next prime is 130002449. The reversal of 130002432 is 234200031.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1150408 + ... + 1150520.

Almost surely, 2130002432 is an apocalyptic number.

130002432 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 130002432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201522816).

130002432 is an abundant number, since it is smaller than the sum of its proper divisors (273043200).

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

130002432 is a wasteful number, since it uses less digits than its factorization.

130002432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 130002432 is about 11401.8609007477. The cubic root of 130002432 is about 506.5828608695.

Adding to 130002432 its reverse (234200031), we get a palindrome (364202463).

The spelling of 130002432 in words is "one hundred thirty million, two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 107 112 113 128 168 192 214 224 226 256 321 336 339 384 428 448 452 512 642 672 678 749 768 791 856 896 904 1284 1344 1356 1498 1536 1582 1712 1792 1808 2247 2373 2568 2688 2712 2996 3164 3424 3584 3616 4494 4746 5136 5376 5424 5992 6328 6848 7232 8988 9492 10272 10752 10848 11984 12091 12656 13696 14464 17976 18984 20544 21696 23968 24182 25312 27392 28928 35952 36273 37968 41088 43392 47936 48364 50624 54784 57856 71904 72546 75936 82176 84637 86784 95872 96728 101248 143808 145092 151872 164352 169274 173568 191744 193456 202496 253911 287616 290184 303744 338548 383488 386912 404992 507822 575232 580368 607488 677096 773824 1015644 1150464 1160736 1214976 1354192 1547648 2031288 2321472 2708384 3095296 4062576 4642944 5416768 6190592 8125152 9285888 10833536 16250304 18571776 21667072 32500608 43334144 65001216 130002432