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129146130 = 23354710177
BaseRepresentation
bin1111011001010…
…01110100010010
3100000000022012000
413230221310102
5231030134010
620452014430
73125503221
oct754516422
9300008160
10129146130
1166999443
1237301416
13209a9c39
141321acb8
15b5107c0
hex7b29d12

129146130 has 64 divisors (see below), whose sum is σ = 351751680. Its totient is φ = 33702912.

The previous prime is 129146099. The next prime is 129146131. The reversal of 129146130 is 31641921.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 129146094 and 129146103.

It is not an unprimeable number, because it can be changed into a prime (129146131) 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, 7602 + ... + 17778.

It is an arithmetic number, because the mean of its divisors is an integer number (5496120).

Almost surely, 2129146130 is an apocalyptic number.

129146130 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 129146130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175875840).

129146130 is an abundant number, since it is smaller than the sum of its proper divisors (222605550).

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

129146130 is a wasteful number, since it uses less digits than its factorization.

129146130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10240 (or 10234 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 129146130 is about 11364.2478853640. The cubic root of 129146130 is about 505.4681539166.

It can be divided in two parts, 12914 and 6130, that added together give a square (19044 = 1382).

The spelling of 129146130 in words is "one hundred twenty-nine million, one hundred forty-six thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 47 54 90 94 135 141 235 270 282 423 470 705 846 1269 1410 2115 2538 4230 6345 10177 12690 20354 30531 50885 61062 91593 101770 152655 183186 274779 305310 457965 478319 549558 915930 956638 1373895 1434957 2391595 2747790 2869914 4304871 4783190 7174785 8609742 12914613 14349570 21524355 25829226 43048710 64573065 129146130