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164253060 = 223258910253
BaseRepresentation
bin10011100101001…
…00110110000100
3102110001220211200
421302210312010
5314022044220
624144302500
74033061616
oct1162446604
9373056750
10164253060
1184797834
1247011a30
132804c57a
1417b58db6
15e647890
hex9ca4d84

164253060 has 72 divisors (see below), whose sum is σ = 503881560. Its totient is φ = 43304448.

The previous prime is 164253049. The next prime is 164253091. The reversal of 164253060 is 60352461.

It can be written as a sum of positive squares in 4 ways, for example, as 617796 + 163635264 = 786^2 + 12792^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10894 + ... + 21146.

It is an arithmetic number, because the mean of its divisors is an integer number (6998355).

Almost surely, 2164253060 is an apocalyptic number.

164253060 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 164253060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251940780).

164253060 is an abundant number, since it is smaller than the sum of its proper divisors (339628500).

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

164253060 is a wasteful number, since it uses less digits than its factorization.

164253060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10357 (or 10352 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 164253060 is about 12816.1249993904. The cubic root of 164253060 is about 547.6517625200.

The spelling of 164253060 in words is "one hundred sixty-four million, two hundred fifty-three thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 89 90 178 180 267 356 445 534 801 890 1068 1335 1602 1780 2670 3204 4005 5340 8010 10253 16020 20506 30759 41012 51265 61518 92277 102530 123036 153795 184554 205060 307590 369108 461385 615180 912517 922770 1825034 1845540 2737551 3650068 4562585 5475102 8212653 9125170 10950204 13687755 16425306 18250340 27375510 32850612 41063265 54751020 82126530 164253060