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129949360 = 245171947107
BaseRepresentation
bin1111011111011…
…01111010110000
3100001112010000021
413233231322300
5231231334420
620521133224
73135360052
oct757557260
9301463007
10129949360
1167397972
123762a214
1320bcb718
14133898d2
15b61d7aa
hex7bedeb0

129949360 has 160 divisors (see below), whose sum is σ = 347120640. Its totient is φ = 44937216.

The previous prime is 129949331. The next prime is 129949363. The reversal of 129949360 is 63949921.

It is not an unprimeable number, because it can be changed into a prime (129949363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1214427 + ... + 1214533.

It is an arithmetic number, because the mean of its divisors is an integer number (2169504).

Almost surely, 2129949360 is an apocalyptic number.

129949360 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 129949360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173560320).

129949360 is an abundant number, since it is smaller than the sum of its proper divisors (217171280).

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

129949360 is a wasteful number, since it uses less digits than its factorization.

129949360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 43.

The square root of 129949360 is about 11399.5333237813. The cubic root of 129949360 is about 506.5139159414.

The spelling of 129949360 in words is "one hundred twenty-nine million, nine hundred forty-nine thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 19 20 34 38 40 47 68 76 80 85 94 95 107 136 152 170 188 190 214 235 272 304 323 340 376 380 428 470 535 646 680 752 760 799 856 893 940 1070 1292 1360 1520 1598 1615 1712 1786 1819 1880 2033 2140 2584 3196 3230 3572 3638 3760 3995 4066 4280 4465 5029 5168 6392 6460 7144 7276 7990 8132 8560 8930 9095 10058 10165 12784 12920 14288 14552 15181 15980 16264 17860 18190 20116 20330 25145 25840 29104 30362 31960 32528 34561 35720 36380 40232 40660 50290 60724 63920 69122 71440 72760 75905 80464 81320 85493 95551 100580 121448 138244 145520 151810 162640 170986 172805 191102 201160 242896 276488 303620 341972 345610 382204 402320 427465 477755 552976 607240 683944 691220 764408 854930 955510 1214480 1367888 1382440 1528816 1624367 1709860 1911020 2764880 3248734 3419720 3822040 6497468 6839440 7644080 8121835 12994936 16243670 25989872 32487340 64974680 129949360