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129972870 = 23354159199
BaseRepresentation
bin1111011111100…
…11101010000110
3100001120022021000
413233303222012
5231233112440
620521434130
73135515436
oct757635206
9301508230
10129972870
11674035a5
123763b946
1320c09331
14133942c6
15b625730
hex7bf3a86

129972870 has 128 divisors (see below), whose sum is σ = 362880000. Its totient is φ = 33073920.

The previous prime is 129972847. The next prime is 129972881. The reversal of 129972870 is 78279921.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 63 ways as a sum of consecutive naturals, for example, 653031 + ... + 653229.

It is an arithmetic number, because the mean of its divisors is an integer number (2835000).

Almost surely, 2129972870 is an apocalyptic number.

129972870 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 129972870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181440000).

129972870 is an abundant number, since it is smaller than the sum of its proper divisors (232907130).

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

129972870 is a wasteful number, since it uses less digits than its factorization.

129972870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The square root of 129972870 is about 11400.5644597099. The cubic root of 129972870 is about 506.5444596960.

The spelling of 129972870 in words is "one hundred twenty-nine million, nine hundred seventy-two thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 41 45 54 59 82 90 118 123 135 177 199 205 246 270 295 354 369 398 410 531 590 597 615 738 885 995 1062 1107 1194 1230 1593 1770 1791 1845 1990 2214 2419 2655 2985 3186 3582 3690 4838 5310 5373 5535 5970 7257 7965 8159 8955 10746 11070 11741 12095 14514 15930 16318 17910 21771 23482 24190 24477 26865 35223 36285 40795 43542 48954 53730 58705 65313 70446 72570 73431 81590 105669 108855 117410 122385 130626 146862 176115 211338 217710 220293 244770 317007 326565 352230 367155 440586 481381 528345 634014 653130 734310 962762 1056690 1101465 1444143 1585035 2202930 2406905 2888286 3170070 4332429 4813810 7220715 8664858 12997287 14441430 21662145 25994574 43324290 64986435 129972870