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129142350 = 237521181
BaseRepresentation
bin1111011001010…
…00111001001110
3100000000010000000
413230220321032
5231030023400
620451545130
73125456211
oct754507116
9300003000
10129142350
1166996617
12372bb1a6
13209a82bc
1413219778
15b50e600
hex7b28e4e

129142350 has 96 divisors (see below), whose sum is σ = 360557280. Its totient is φ = 34408800.

The previous prime is 129142331. The next prime is 129142357. The reversal of 129142350 is 53241921.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129142357) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108760 + ... + 109940.

It is an arithmetic number, because the mean of its divisors is an integer number (3755805).

Almost surely, 2129142350 is an apocalyptic number.

129142350 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 129142350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180278640).

129142350 is an abundant number, since it is smaller than the sum of its proper divisors (231414930).

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

129142350 is an equidigital number, since it uses as much as digits as its factorization.

129142350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214 (or 1191 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 129142350 is about 11364.0815730969. The cubic root of 129142350 is about 505.4632223241.

The spelling of 129142350 in words is "one hundred twenty-nine million, one hundred forty-two thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 135 150 162 225 243 270 405 450 486 675 729 810 1181 1215 1350 1458 2025 2187 2362 2430 3543 3645 4050 4374 5905 6075 7086 7290 10629 10935 11810 12150 17715 18225 21258 21870 29525 31887 35430 36450 53145 54675 59050 63774 88575 95661 106290 109350 159435 177150 191322 265725 286983 318870 478305 531450 573966 797175 860949 956610 1434915 1594350 1721898 2391525 2582847 2869830 4304745 4783050 5165694 7174575 8609490 12914235 14349150 21523725 25828470 43047450 64571175 129142350