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129542340 = 22354771647
BaseRepresentation
bin1111011100010…
…10100011000100
3100000202102200110
413232022203010
5231130323330
620504313020
73132043314
oct756124304
9300672613
10129542340
116713a094
1237472770
1320ab8395
14132c1444
15b58cdb0
hex7b8a8c4

129542340 has 96 divisors (see below), whose sum is σ = 376233984. Its totient is φ = 33281920.

The previous prime is 129542339. The next prime is 129542353. The reversal of 129542340 is 43245921.

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

It is a junction number, because it is equal to n+sod(n) for n = 129542298 and 129542307.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 199897 + ... + 200543.

It is an arithmetic number, because the mean of its divisors is an integer number (3919104).

Almost surely, 2129542340 is an apocalyptic number.

129542340 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 129542340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188116992).

129542340 is an abundant number, since it is smaller than the sum of its proper divisors (246691644).

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

129542340 is a wasteful number, since it uses less digits than its factorization.

129542340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 129542340 is about 11381.6668375067. Note that the first 3 decimals coincide. The cubic root of 129542340 is about 505.9845381601.

The spelling of 129542340 in words is "one hundred twenty-nine million, five hundred forty-two thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 71 94 141 142 188 213 235 282 284 355 426 470 564 647 705 710 852 940 1065 1294 1410 1420 1941 2130 2588 2820 3235 3337 3882 4260 6470 6674 7764 9705 10011 12940 13348 16685 19410 20022 30409 33370 38820 40044 45937 50055 60818 66740 91227 91874 100110 121636 137811 152045 182454 183748 200220 229685 275622 304090 364908 456135 459370 551244 608180 689055 912270 918740 1378110 1824540 2159039 2756220 4318078 6477117 8636156 10795195 12954234 21590390 25908468 32385585 43180780 64771170 129542340