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130400432 = 24233761157
BaseRepresentation
bin1111100010111…
…00000010110000
3100002101000202122
413301130002300
5231340303212
620534533412
73142246121
oct761340260
9302330678
10130400432
1167675858
1237807268
1321028b26
1413466048
15b6ac272
hex7c5c0b0

130400432 has 80 divisors (see below), whose sum is σ = 276952512. Its totient is φ = 59304960.

The previous prime is 130400423. The next prime is 130400441. The reversal of 130400432 is 234004031.

It is an interprime number because it is at equal distance from previous prime (130400423) and next prime (130400441).

It is a self number, because there is not a number n which added to its sum of digits gives 130400432.

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, 830498 + ... + 830654.

Almost surely, 2130400432 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 130400432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138476256).

130400432 is an abundant number, since it is smaller than the sum of its proper divisors (146552080).

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

130400432 is a wasteful number, since it uses less digits than its factorization.

130400432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 130400432 is about 11419.3008542555. The cubic root of 130400432 is about 507.0992988387.

Adding to 130400432 its reverse (234004031), we get a palindrome (364404463).

The spelling of 130400432 in words is "one hundred thirty million, four hundred thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 23 37 46 61 74 92 122 148 157 184 244 296 314 368 488 592 628 851 976 1256 1403 1702 2257 2512 2806 3404 3611 4514 5612 5809 6808 7222 9028 9577 11224 11618 13616 14444 18056 19154 22448 23236 28888 36112 38308 46472 51911 57776 76616 92944 103822 133607 153232 207644 220271 267214 354349 415288 440542 534428 708698 830576 881084 1068856 1417396 1762168 2137712 2834792 3524336 5669584 8150027 16300054 32600108 65200216 130400432