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129993472 = 287243241
BaseRepresentation
bin1111011111110…
…00101100000000
3100001121100112001
413233320230000
5231234242342
620522113344
73135632500
oct757705400
9301540461
10129993472
1167418024
123764b854
1320c1581b
141339ba00
15b62b8b7
hex7bf8b00

129993472 has 108 divisors (see below), whose sum is σ = 310144296. Its totient is φ = 54190080.

The previous prime is 129993439. The next prime is 129993481. The reversal of 129993472 is 274399921.

It is a happy number.

It is a super-2 number, since 2×1299934722 = 33796605525229568, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 539272 + ... + 539512.

Almost surely, 2129993472 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 129993472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155072148).

129993472 is an abundant number, since it is smaller than the sum of its proper divisors (180150824).

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

129993472 is an equidigital number, since it uses as much as digits as its factorization.

129993472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 293 counting only the distinct ones).

The product of its digits is 244944, while the sum is 46.

The square root of 129993472 is about 11401.4679756600. The cubic root of 129993472 is about 506.5712224033.

It can be divided in two parts, 12999 and 3472, that added together give a triangular number (16471 = T181).

The spelling of 129993472 in words is "one hundred twenty-nine million, nine hundred ninety-three thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 43 49 56 64 86 98 112 128 172 196 224 241 256 301 344 392 448 482 602 688 784 896 964 1204 1376 1568 1687 1792 1928 2107 2408 2752 3136 3374 3856 4214 4816 5504 6272 6748 7712 8428 9632 10363 11008 11809 12544 13496 15424 16856 19264 20726 23618 26992 30848 33712 38528 41452 47236 53984 61696 67424 72541 77056 82904 94472 107968 134848 145082 165808 188944 215936 269696 290164 331616 377888 431872 507787 539392 580328 663232 755776 1015574 1160656 1326464 1511552 2031148 2321312 2652928 3023104 4062296 4642624 8124592 9285248 16249184 18570496 32498368 64996736 129993472