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129956190 = 235713181263
BaseRepresentation
bin1111011111011…
…11100101011110
3100001112110101020
413233233211132
5231232044230
620521225010
73135416010
oct757574536
9301473336
10129956190
11673a2011
1237632166
1320c01870
141338c1b0
15b620810
hex7bef95e

129956190 has 128 divisors (see below), whose sum is σ = 387459072. Its totient is φ = 27164160.

The previous prime is 129956137. The next prime is 129956207. The reversal of 129956190 is 91659921.

It is a happy number.

It is a super-2 number, since 2×1299561902 = 33777222638632200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 493999 + ... + 494261.

It is an arithmetic number, because the mean of its divisors is an integer number (3027024).

Almost surely, 2129956190 is an apocalyptic number.

129956190 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 129956190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193729536).

129956190 is an abundant number, since it is smaller than the sum of its proper divisors (257502882).

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

129956190 is a wasteful number, since it uses less digits than its factorization.

129956190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474.

The product of its (nonzero) digits is 43740, while the sum is 42.

The square root of 129956190 is about 11399.8328935121. The cubic root of 129956190 is about 506.5227897300.

The spelling of 129956190 in words is "one hundred twenty-nine million, nine hundred fifty-six thousand, one hundred ninety".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 65 70 78 91 105 130 181 182 195 210 263 273 362 390 455 526 543 546 789 905 910 1086 1267 1315 1365 1578 1810 1841 2353 2534 2630 2715 2730 3419 3682 3801 3945 4706 5430 5523 6335 6838 7059 7602 7890 9205 10257 11046 11765 12670 14118 16471 17095 18410 19005 20514 23530 23933 27615 32942 34190 35295 38010 47603 47866 49413 51285 55230 70590 71799 82355 95206 98826 102570 119665 142809 143598 164710 238015 239330 247065 285618 333221 358995 476030 494130 618839 666442 714045 717990 999663 1237678 1428090 1666105 1856517 1999326 3094195 3332210 3713034 4331873 4998315 6188390 8663746 9282585 9996630 12995619 18565170 21659365 25991238 43318730 64978095 129956190