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129905104 = 24723211239
BaseRepresentation
bin1111011111000…
…11000111010000
3100001102212022011
413233203013100
5231223430404
620520152304
73135114040
oct757430720
9301385264
10129905104
116736769a
1237608694
1320bb4534
1413377720
15b610604
hex7be31d0

129905104 has 80 divisors (see below), whose sum is σ = 302837760. Its totient is φ = 52778880.

The previous prime is 129905101. The next prime is 129905117. The reversal of 129905104 is 401509921.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129905101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 543417 + ... + 543655.

It is an arithmetic number, because the mean of its divisors is an integer number (3785472).

Almost surely, 2129905104 is an apocalyptic number.

129905104 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 129905104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151418880).

129905104 is an abundant number, since it is smaller than the sum of its proper divisors (172932656).

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

129905104 is a wasteful number, since it uses less digits than its factorization.

129905104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 31.

The square root of 129905104 is about 11397.5920263887. The cubic root of 129905104 is about 506.4564093735.

The spelling of 129905104 in words is "one hundred twenty-nine million, nine hundred five thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 92 112 161 184 211 239 322 368 422 478 644 844 956 1288 1477 1673 1688 1912 2576 2954 3346 3376 3824 4853 5497 5908 6692 9706 10994 11816 13384 19412 21988 23632 26768 33971 38479 38824 43976 50429 67942 76958 77648 87952 100858 135884 153916 201716 271768 307832 353003 403432 543536 615664 706006 806864 1159867 1412012 2319734 2824024 4639468 5648048 8119069 9278936 16238138 18557872 32476276 64952552 129905104