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129074484 = 223711163857
BaseRepresentation
bin1111011000110…
…00010100110100
322222212122220110
413230120110310
5231020340414
620450303020
73125054310
oct754302464
9288778813
10129074484
116694a630
1237287a70
1320983446
14131dcb40
15b4e9459
hex7b18534

129074484 has 96 divisors (see below), whose sum is σ = 378233856. Its totient is φ = 33281280.

The previous prime is 129074461. The next prime is 129074497. The reversal of 129074484 is 484470921.

It is a congruent number.

It is an unprimeable number.

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, 150184 + ... + 151040.

It is an arithmetic number, because the mean of its divisors is an integer number (3939936).

Almost surely, 2129074484 is an apocalyptic number.

129074484 is a gapful number since it is divisible by the number (14) 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 129074484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189116928).

129074484 is an abundant number, since it is smaller than the sum of its proper divisors (249159372).

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

129074484 is a wasteful number, since it uses less digits than its factorization.

129074484 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 129074484 is about 11361.0951936862. The cubic root of 129074484 is about 505.3746642902.

It can be divided in two parts, 12907 and 4484, that added together give a triangular number (17391 = T186).

The spelling of 129074484 in words is "one hundred twenty-nine million, seventy-four thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 132 154 163 231 308 326 462 489 652 857 924 978 1141 1714 1793 1956 2282 2571 3423 3428 3586 4564 5142 5379 5999 6846 7172 9427 10284 10758 11998 12551 13692 17997 18854 21516 23996 25102 28281 35994 37653 37708 50204 56562 65989 71988 75306 113124 131978 139691 150612 197967 263956 279382 395934 419073 558764 791868 838146 977837 1536601 1676292 1955674 2933511 3073202 3911348 4609803 5867022 6146404 9219606 10756207 11734044 18439212 21512414 32268621 43024828 64537242 129074484