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129923400 = 23352792741
BaseRepresentation
bin1111011111001…
…11100101001000
3100001110210101210
413233213211020
5231230022100
620520413120
73135221265
oct757474510
9301423353
10129923400
116737a412
12376171a0
1320bbc969
141338026c
15b615c50
hex7be7948

129923400 has 96 divisors (see below), whose sum is σ = 408009600. Its totient is φ = 34195200.

The previous prime is 129923377. The next prime is 129923407. The reversal of 129923400 is 4329921.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (129923407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46030 + ... + 48770.

It is an arithmetic number, because the mean of its divisors is an integer number (4250100).

Almost surely, 2129923400 is an apocalyptic number.

129923400 is a gapful number since it is divisible by the number (10) 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 129923400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204004800).

129923400 is an abundant number, since it is smaller than the sum of its proper divisors (278086200).

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

129923400 is a wasteful number, since it uses less digits than its factorization.

129923400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2839 (or 2830 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 129923400 is about 11398.3946238056. The cubic root of 129923400 is about 506.4801849122.

The spelling of 129923400 in words is "one hundred twenty-nine million, nine hundred twenty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 79 100 120 150 158 200 237 300 316 395 474 600 632 790 948 1185 1580 1896 1975 2370 2741 3160 3950 4740 5482 5925 7900 8223 9480 10964 11850 13705 15800 16446 21928 23700 27410 32892 41115 47400 54820 65784 68525 82230 109640 137050 164460 205575 216539 274100 328920 411150 433078 548200 649617 822300 866156 1082695 1299234 1644600 1732312 2165390 2598468 3248085 4330780 5196936 5413475 6496170 8661560 10826950 12992340 16240425 21653900 25984680 32480850 43307800 64961700 129923400