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164288670 = 23572138597
BaseRepresentation
bin10011100101011…
…01100010011110
3102110010201200120
421302231202132
5314024214140
624145135410
74033300500
oct1162554236
9373121616
10164288670
1184811567
124702a566
1328062840
1417b67d70
15e6531d0
hex9cad89e

164288670 has 96 divisors (see below), whose sum is σ = 494006688. Its totient is φ = 34659072.

The previous prime is 164288669. The next prime is 164288689. The reversal of 164288670 is 76882461.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent 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, 14812 + ... + 23408.

It is an arithmetic number, because the mean of its divisors is an integer number (5145903).

Almost surely, 2164288670 is an apocalyptic number.

164288670 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 164288670, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247003344).

164288670 is an abundant number, since it is smaller than the sum of its proper divisors (329718018).

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

164288670 is a wasteful number, since it uses less digits than its factorization.

164288670 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8634 (or 8627 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 164288670 is about 12817.5141895767. The cubic root of 164288670 is about 547.6913365572.

The spelling of 164288670 in words is "one hundred sixty-four million, two hundred eighty-eight thousand, six hundred seventy".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 35 39 42 49 65 70 78 91 98 105 130 147 182 195 210 245 273 294 390 455 490 546 637 735 910 1274 1365 1470 1911 2730 3185 3822 6370 8597 9555 17194 19110 25791 42985 51582 60179 85970 111761 120358 128955 180537 223522 257910 300895 335283 361074 421253 558805 601790 670566 782327 842506 902685 1117610 1263759 1564654 1676415 1805370 2106265 2346981 2527518 3352830 3911635 4212530 4693962 5476289 6318795 7823270 10952578 11734905 12637590 16428867 23469810 27381445 32857734 54762890 82144335 164288670