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164035580 = 225131137457
BaseRepresentation
bin10011100011011…
…11101111111100
3102102122212111212
421301233233330
5313443114310
624135503552
74031164562
oct1161575774
9372585455
10164035580
11846593a5
1246b27bb8
1327ca4597
1417adda32
15e603205
hex9c6fbfc

164035580 has 48 divisors (see below), whose sum is σ = 350402976. Its totient is φ = 64496640.

The previous prime is 164035561. The next prime is 164035589. The reversal of 164035580 is 85530461.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164035589) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 358712 + ... + 359168.

It is an arithmetic number, because the mean of its divisors is an integer number (7300062).

Almost surely, 2164035580 is an apocalyptic number.

164035580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164035580 is an abundant number, since it is smaller than the sum of its proper divisors (186367396).

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

164035580 is a wasteful number, since it uses less digits than its factorization.

164035580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The square root of 164035580 is about 12807.6375651406. The cubic root of 164035580 is about 547.4099488405.

The spelling of 164035580 in words is "one hundred sixty-four million, thirty-five thousand, five hundred eighty".

Divisors: 1 2 4 5 10 20 131 137 262 274 457 524 548 655 685 914 1310 1370 1828 2285 2620 2740 4570 9140 17947 35894 59867 62609 71788 89735 119734 125218 179470 239468 250436 299335 313045 358940 598670 626090 1197340 1252180 8201779 16403558 32807116 41008895 82017790 164035580