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129119904 = 2532479539
BaseRepresentation
bin1111011001000…
…11011010100000
322222221222012200
413230203122200
5231023314104
620451253200
73125333604
oct754433240
9288858180
10129119904
1166980771
12372aa200
132099b014
1413211504
15b507b39
hex7b236a0

129119904 has 72 divisors (see below), whose sum is σ = 375036480. Its totient is φ = 42119808.

The previous prime is 129119843. The next prime is 129119909. The reversal of 129119904 is 409911921.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is not an unprimeable number, because it can be changed into a prime (129119909) 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 11 ways as a sum of consecutive naturals, for example, 8767 + ... + 18305.

It is an arithmetic number, because the mean of its divisors is an integer number (5208840).

Almost surely, 2129119904 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 129119904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187518240).

129119904 is an abundant number, since it is smaller than the sum of its proper divisors (245916576).

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

129119904 is a wasteful number, since it uses less digits than its factorization.

129119904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9602 (or 9591 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

The square root of 129119904 is about 11363.0939448726. The cubic root of 129119904 is about 505.4339360756.

The spelling of 129119904 in words is "one hundred twenty-nine million, one hundred nineteen thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 72 94 96 141 144 188 282 288 376 423 564 752 846 1128 1504 1692 2256 3384 4512 6768 9539 13536 19078 28617 38156 57234 76312 85851 114468 152624 171702 228936 305248 343404 448333 457872 686808 896666 915744 1344999 1373616 1793332 2689998 2747232 3586664 4034997 5379996 7173328 8069994 10759992 14346656 16139988 21519984 32279976 43039968 64559952 129119904