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164251530 = 2335608339
BaseRepresentation
bin10011100101001…
…00011110001010
3102110001211202000
421302210132022
5314022022110
624144251430
74033054302
oct1162443612
9373054660
10164251530
1184796673
1247010b76
132804b971
1417b58602
15e6471c0
hex9ca478a

164251530 has 32 divisors (see below), whose sum is σ = 438004800. Its totient is φ = 43800336.

The previous prime is 164251517. The next prime is 164251531. The reversal of 164251530 is 35152461.

164251530 is a `hidden beast` number, since 1 + 642 + 5 + 15 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 164251494 and 164251503.

It is not an unprimeable number, because it can be changed into a prime (164251531) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 303900 + ... + 304439.

It is an arithmetic number, because the mean of its divisors is an integer number (13687650).

Almost surely, 2164251530 is an apocalyptic number.

164251530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

164251530 is an abundant number, since it is smaller than the sum of its proper divisors (273753270).

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

164251530 is a wasteful number, since it uses less digits than its factorization.

164251530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608355 (or 608349 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 164251530 is about 12816.0653088224. The cubic root of 164251530 is about 547.6500620752.

It can be divided in two parts, 16425 and 1530, that added together give a triangular number (17955 = T189).

The spelling of 164251530 in words is "one hundred sixty-four million, two hundred fifty-one thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 90 135 270 608339 1216678 1825017 3041695 3650034 5475051 6083390 9125085 10950102 16425153 18250170 27375255 32850306 54750510 82125765 164251530