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164250460 = 225115211433
BaseRepresentation
bin10011100101001…
…00001101011100
3102110001210021101
421302210031130
5314022003320
624144242444
74033051213
oct1162441534
9373053241
10164250460
1184795890
1247010424
132804b32a
1417b5807a
15e646c0a
hex9ca435c

164250460 has 48 divisors (see below), whose sum is σ = 377268192. Its totient is φ = 59571200.

The previous prime is 164250451. The next prime is 164250467. The reversal of 164250460 is 64052461.

It is a super-2 number, since 2×1642504602 = 53956427220423200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164250467) 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, 113904 + ... + 115336.

It is an arithmetic number, because the mean of its divisors is an integer number (7859754).

Almost surely, 2164250460 is an apocalyptic number.

164250460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164250460 is an abundant number, since it is smaller than the sum of its proper divisors (213017732).

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

164250460 is a wasteful number, since it uses less digits than its factorization.

164250460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1974 (or 1972 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 164250460 is about 12816.0235642730. The cubic root of 164250460 is about 547.6488728689.

The spelling of 164250460 in words is "one hundred sixty-four million, two hundred fifty thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 521 1042 1433 2084 2605 2866 5210 5731 5732 7165 10420 11462 14330 15763 22924 28655 28660 31526 57310 63052 78815 114620 157630 315260 746593 1493186 2986372 3732965 7465930 8212523 14931860 16425046 32850092 41062615 82125230 164250460