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129442368 = 26311167367
BaseRepresentation
bin1111011011100…
…10001001000000
3100000120100112210
413231302021000
5231114123433
620502222120
73131145666
oct755621100
9300510483
10129442368
1167080a70
1237424940
1320a81a23
1413296c36
15b56d463
hex7b72240

129442368 has 112 divisors (see below), whose sum is σ = 376879104. Its totient is φ = 38883840.

The previous prime is 129442361. The next prime is 129442387. The reversal of 129442368 is 863244921.

It is not an unprimeable number, because it can be changed into a prime (129442361) 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, 352521 + ... + 352887.

It is an arithmetic number, because the mean of its divisors is an integer number (3364992).

Almost surely, 2129442368 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 129442368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188439552).

129442368 is an abundant number, since it is smaller than the sum of its proper divisors (247436736).

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

129442368 is a wasteful number, since it uses less digits than its factorization.

129442368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 560 (or 550 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 129442368 is about 11377.2741902443. The cubic root of 129442368 is about 505.8543431358.

The spelling of 129442368 in words is "one hundred twenty-nine million, four hundred forty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 167 176 192 264 334 352 367 501 528 668 704 734 1002 1056 1101 1336 1468 1837 2004 2112 2202 2672 2936 3674 4008 4037 4404 5344 5511 5872 7348 8016 8074 8808 10688 11022 11744 12111 14696 16032 16148 17616 22044 23488 24222 29392 32064 32296 35232 44088 48444 58784 61289 64592 70464 88176 96888 117568 122578 129184 176352 183867 193776 245156 258368 352704 367734 387552 490312 674179 735468 775104 980624 1348358 1470936 1961248 2022537 2696716 2941872 3922496 4045074 5393432 5883744 8090148 10786864 11767488 16180296 21573728 32360592 43147456 64721184 129442368