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129148140 = 223511217789
BaseRepresentation
bin1111011001010…
…10010011101100
3100000000101221110
413230222103230
5231030220030
620452032020
73125512122
oct754522354
9300011843
10129148140
116699aa00
1237302610
13209aab24
141321b912
15b5111b0
hex7b2a4ec

129148140 has 72 divisors (see below), whose sum is σ = 397499760. Its totient is φ = 31306880.

The previous prime is 129148127. The next prime is 129148141. The reversal of 129148140 is 41841921.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 129148098 and 129148107.

It is not an unprimeable number, because it can be changed into a prime (129148141) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1635 + ... + 16154.

It is an arithmetic number, because the mean of its divisors is an integer number (5520830).

Almost surely, 2129148140 is an apocalyptic number.

129148140 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 129148140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198749880).

129148140 is an abundant number, since it is smaller than the sum of its proper divisors (268351620).

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

129148140 is a wasteful number, since it uses less digits than its factorization.

129148140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17823 (or 17810 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 129148140 is about 11364.3363202609. The cubic root of 129148140 is about 505.4707762322.

The spelling of 129148140 in words is "one hundred twenty-nine million, one hundred forty-eight thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 121 132 165 220 242 330 363 484 605 660 726 1210 1452 1815 2420 3630 7260 17789 35578 53367 71156 88945 106734 177890 195679 213468 266835 355780 391358 533670 587037 782716 978395 1067340 1174074 1956790 2152469 2348148 2935185 3913580 4304938 5870370 6457407 8609876 10762345 11740740 12914814 21524690 25829628 32287035 43049380 64574070 129148140