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129080840 = 23574371151
BaseRepresentation
bin1111011000110…
…01111000001000
322222212222121212
413230121320020
5231021041330
620450352252
73125111660
oct754317010
9288788555
10129080840
1166954389
123728b688
13209862c5
14132011a0
15b4eb295
hex7b19e08

129080840 has 128 divisors (see below), whose sum is σ = 346705920. Its totient is φ = 42336000.

The previous prime is 129080839. The next prime is 129080843. The reversal of 129080840 is 48080921.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 129080797 and 129080806.

It is not an unprimeable number, because it can be changed into a prime (129080843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 854765 + ... + 854915.

It is an arithmetic number, because the mean of its divisors is an integer number (2708640).

Almost surely, 2129080840 is an apocalyptic number.

129080840 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 129080840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173352960).

129080840 is an abundant number, since it is smaller than the sum of its proper divisors (217625080).

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

129080840 is a wasteful number, since it uses less digits than its factorization.

129080840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 32.

The square root of 129080840 is about 11361.3749167959. The cubic root of 129080840 is about 505.3829595229.

The spelling of 129080840 in words is "one hundred twenty-nine million, eighty thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 43 56 70 71 86 140 142 151 172 215 280 284 301 302 344 355 430 497 568 602 604 710 755 860 994 1057 1204 1208 1420 1505 1510 1720 1988 2114 2408 2485 2840 3010 3020 3053 3976 4228 4970 5285 6020 6040 6106 6493 8456 9940 10570 10721 12040 12212 12986 15265 19880 21140 21371 21442 24424 25972 30530 32465 42280 42742 42884 45451 51944 53605 61060 64930 75047 85484 85768 90902 106855 107210 122120 129860 150094 170968 181804 213710 214420 227255 259720 300188 363608 375235 427420 428840 454510 461003 600376 750470 854840 909020 922006 1500940 1818040 1844012 2305015 3001880 3227021 3688024 4610030 6454042 9220060 12908084 16135105 18440120 25816168 32270210 64540420 129080840