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164687380 = 225111389647
BaseRepresentation
bin10011101000011…
…10111000010100
3102110212222121121
421310032320110
5314124444010
624201453324
74036551064
oct1164167024
9373788547
10164687380
1184a64080
12471a1244
1328172170
1417c2d3a4
15e6d13da
hex9d0ee14

164687380 has 96 divisors (see below), whose sum is σ = 411505920. Its totient is φ = 54574080.

The previous prime is 164687371. The next prime is 164687417. The reversal of 164687380 is 83786461.

It is a congruent number.

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, 254217 + ... + 254863.

It is an arithmetic number, because the mean of its divisors is an integer number (4286520).

Almost surely, 2164687380 is an apocalyptic number.

164687380 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 164687380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205752960).

164687380 is an abundant number, since it is smaller than the sum of its proper divisors (246818540).

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

164687380 is a wasteful number, since it uses less digits than its factorization.

164687380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The square root of 164687380 is about 12833.0580922865. The cubic root of 164687380 is about 548.1340402394.

The spelling of 164687380 in words is "one hundred sixty-four million, six hundred eighty-seven thousand, three hundred eighty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 89 110 130 143 178 220 260 286 356 445 572 647 715 890 979 1157 1294 1430 1780 1958 2314 2588 2860 3235 3916 4628 4895 5785 6470 7117 8411 9790 11570 12727 12940 14234 16822 19580 23140 25454 28468 33644 35585 42055 50908 57583 63635 71170 84110 92521 115166 127270 142340 168220 185042 230332 254540 287915 370084 462605 575830 633413 748579 925210 1151660 1266826 1497158 1850420 2533652 2994316 3167065 3742895 6334130 7485790 8234369 12668260 14971580 16468738 32937476 41171845 82343690 164687380