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129913620 = 223529197379
BaseRepresentation
bin1111011111001…
…01001100010100
3100001110021222120
413233211030110
5231224213440
620520255540
73135150624
oct757451424
9301407876
10129913620
1167373031
12376115b0
1320bb8385
141337a884
15b612dd0
hex7be5314

129913620 has 96 divisors (see below), whose sum is σ = 379209600. Its totient is φ = 33191424.

The previous prime is 129913613. The next prime is 129913627. The reversal of 129913620 is 26319921.

It is an interprime number because it is at equal distance from previous prime (129913613) and next prime (129913627).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129913627) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 342591 + ... + 342969.

It is an arithmetic number, because the mean of its divisors is an integer number (3950100).

Almost surely, 2129913620 is an apocalyptic number.

129913620 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 129913620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189604800).

129913620 is an abundant number, since it is smaller than the sum of its proper divisors (249295980).

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

129913620 is a wasteful number, since it uses less digits than its factorization.

129913620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 129913620 is about 11397.9656079495. The cubic root of 129913620 is about 506.4674761405.

The spelling of 129913620 in words is "one hundred twenty-nine million, nine hundred thirteen thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 174 197 290 348 379 394 435 580 591 758 788 870 985 1137 1182 1516 1740 1895 1970 2274 2364 2955 3790 3940 4548 5685 5713 5910 7580 10991 11370 11426 11820 17139 21982 22740 22852 28565 32973 34278 43964 54955 57130 65946 68556 74663 85695 109910 114260 131892 149326 164865 171390 219820 223989 298652 329730 342780 373315 447978 659460 746630 895956 1119945 1493260 2165227 2239890 4330454 4479780 6495681 8660908 10826135 12991362 21652270 25982724 32478405 43304540 64956810 129913620