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29130660 = 223251359211
BaseRepresentation
bin110111100011…
…1111110100100
32000210222202100
41233013332210
524424140120
62520212100
7502415016
oct157077644
960728670
1029130660
1115497329
12990a030
13605c3a0
143c241b6
152856490
hex1bc7fa4

29130660 has 144 divisors (see below), whose sum is σ = 97231680. Its totient is φ = 7015680.

The previous prime is 29130649. The next prime is 29130677. The reversal of 29130660 is 6603192.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 137955 + ... + 138165.

It is an arithmetic number, because the mean of its divisors is an integer number (675220).

Almost surely, 229130660 is an apocalyptic number.

29130660 is a gapful number since it is divisible by the number (20) 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 29130660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48615840).

29130660 is an abundant number, since it is smaller than the sum of its proper divisors (68101020).

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

29130660 is a wasteful number, since it uses less digits than its factorization.

29130660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 29130660 is about 5397.2826496303. The cubic root of 29130660 is about 307.6924038782.

The spelling of 29130660 in words is "twenty-nine million, one hundred thirty thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 59 60 65 78 90 117 118 130 156 177 180 195 211 234 236 260 295 354 390 422 468 531 585 590 633 708 767 780 844 885 1055 1062 1170 1180 1266 1534 1770 1899 2110 2124 2301 2340 2532 2655 2743 3068 3165 3540 3798 3835 4220 4602 5310 5486 6330 6903 7596 7670 8229 9204 9495 10620 10972 11505 12449 12660 13715 13806 15340 16458 18990 23010 24687 24898 27430 27612 32916 34515 37347 37980 41145 46020 49374 49796 54860 62245 69030 74694 82290 98748 112041 123435 124490 138060 149388 161837 164580 186735 224082 246870 248980 323674 373470 448164 485511 493740 560205 647348 746940 809185 971022 1120410 1456533 1618370 1942044 2240820 2427555 2913066 3236740 4855110 5826132 7282665 9710220 14565330 29130660