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164682630 = 232572107349
BaseRepresentation
bin10011101000011…
…01101110000110
3102110212202002200
421310031232012
5314124321010
624201415330
74036531200
oct1164155606
9373782080
10164682630
1184a60552
124719a546
132816cc58
1417c2b770
15e6cecc0
hex9d0db86

164682630 has 144 divisors (see below), whose sum is σ = 504176400. Its totient is φ = 37183104.

The previous prime is 164682611. The next prime is 164682641. The reversal of 164682630 is 36286461.

164682630 is a `hidden beast` number, since 1 + 646 + 8 + 2 + 6 + 3 + 0 = 666.

164682630 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 471696 + ... + 472044.

It is an arithmetic number, because the mean of its divisors is an integer number (3501225).

Almost surely, 2164682630 is an apocalyptic number.

164682630 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 164682630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252088200).

164682630 is an abundant number, since it is smaller than the sum of its proper divisors (339493770).

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

164682630 is a wasteful number, since it uses less digits than its factorization.

164682630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 164682630 is about 12832.8730220477. The cubic root of 164682630 is about 548.1287703321.

The spelling of 164682630 in words is "one hundred sixty-four million, six hundred eighty-two thousand, six hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 107 126 147 210 214 245 294 315 321 349 441 490 535 630 642 698 735 749 882 963 1047 1070 1470 1498 1605 1745 1926 2094 2205 2247 2443 3141 3210 3490 3745 4410 4494 4815 4886 5235 5243 6282 6741 7329 7490 9630 10470 10486 11235 12215 13482 14658 15705 15729 17101 21987 22470 24430 26215 31410 31458 33705 34202 36645 37343 43974 47187 51303 52430 67410 73290 74686 78645 85505 94374 102606 109935 112029 153909 157290 171010 186715 219870 224058 235935 256515 261401 307818 336087 373430 471870 513030 522802 560145 672174 769545 784203 1120290 1307005 1539090 1568406 1680435 1829807 2352609 2614010 3360870 3659614 3921015 4705218 5489421 7842030 9149035 10978842 11763045 16468263 18298070 23526090 27447105 32936526 54894210 82341315 164682630