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129840084 = 223411172143
BaseRepresentation
bin1111011110100…
…11001111010100
3100001022120010000
413233103033110
5231214340314
620514531300
73134423343
oct757231724
9301276100
10129840084
1167322860
1237596b30
1320b90a6a
141335bb5a
15b5eb209
hex7bd33d4

129840084 has 120 divisors (see below), whose sum is σ = 392249088. Its totient is φ = 37013760.

The previous prime is 129840077. The next prime is 129840119. The reversal of 129840084 is 480048921.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 59517 + ... + 61659.

Almost surely, 2129840084 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 129840084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196124544).

129840084 is an abundant number, since it is smaller than the sum of its proper divisors (262409004).

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

129840084 is a wasteful number, since it uses less digits than its factorization.

129840084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2187 (or 2176 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 129840084 is about 11394.7393125073. The cubic root of 129840084 is about 506.3718982182.

The spelling of 129840084 in words is "one hundred twenty-nine million, eight hundred forty thousand, eighty-four".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 27 33 34 36 44 51 54 66 68 81 99 102 108 132 153 162 187 198 204 297 306 324 374 396 459 561 594 612 748 891 918 1122 1188 1377 1683 1782 1836 2143 2244 2754 3366 3564 4286 5049 5508 6429 6732 8572 10098 12858 15147 19287 20196 23573 25716 30294 36431 38574 47146 57861 60588 70719 72862 77148 94292 109293 115722 141438 145724 173583 212157 218586 231444 282876 327879 347166 400741 424314 437172 636471 655758 694332 801482 848628 983637 1202223 1272942 1311516 1602964 1909413 1967274 2404446 2545884 2950911 3606669 3818826 3934548 4808892 5901822 7213338 7637652 10820007 11803644 14426676 21640014 32460021 43280028 64920042 129840084