Search a number
-
+
129648540 = 22357467661
BaseRepresentation
bin1111011101001…
…00011110011100
3100000221211100210
413232210132130
5231142223130
620510452420
73132665040
oct756443634
9300854323
10129648540
116720195a
1237504110
1320b24818
141330c020
15b5ae5b0
hex7ba479c

129648540 has 96 divisors (see below), whose sum is σ = 416392704. Its totient is φ = 29525760.

The previous prime is 129648529. The next prime is 129648557. The reversal of 129648540 is 45846921.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 195810 + ... + 196470.

It is an arithmetic number, because the mean of its divisors is an integer number (4337424).

Almost surely, 2129648540 is an apocalyptic number.

129648540 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 129648540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208196352).

129648540 is an abundant number, since it is smaller than the sum of its proper divisors (286744164).

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

129648540 is a wasteful number, since it uses less digits than its factorization.

129648540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1147 (or 1145 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 129648540 is about 11386.3312792137. The cubic root of 129648540 is about 506.1227706493.

The spelling of 129648540 in words is "one hundred twenty-nine million, six hundred forty-eight thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 467 661 934 1322 1401 1868 1983 2335 2644 2802 3269 3305 3966 4627 4670 5604 6538 6610 7005 7932 9254 9340 9807 9915 13076 13220 13881 14010 16345 18508 19614 19830 23135 27762 28020 32690 39228 39660 46270 49035 55524 65380 69405 92540 98070 138810 196140 277620 308687 617374 926061 1234748 1543435 1852122 2160809 3086870 3704244 4321618 4630305 6173740 6482427 8643236 9260610 10804045 12964854 18521220 21608090 25929708 32412135 43216180 64824270 129648540