Search a number
-
+
164396064 = 2537244637
BaseRepresentation
bin10011100110001…
…11110000100000
3102110100012000010
421303013300200
5314041133224
624151324520
74034225550
oct1163076040
9373305003
10164396064
1184885218
1247080740
132809c6a1
1417b95160
15e674e29
hex9cc7c20

164396064 has 48 divisors (see below), whose sum is σ = 493190208. Its totient is φ = 46970112.

The previous prime is 164396053. The next prime is 164396087. The reversal of 164396064 is 460693461.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 121647 + ... + 122990.

It is an arithmetic number, because the mean of its divisors is an integer number (10274796).

Almost surely, 2164396064 is an apocalyptic number.

164396064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

164396064 is an abundant number, since it is smaller than the sum of its proper divisors (328794144).

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

164396064 is a wasteful number, since it uses less digits than its factorization.

164396064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244657 (or 244649 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The square root of 164396064 is about 12821.7028510257. The cubic root of 164396064 is about 547.8106508341.

The spelling of 164396064 in words is "one hundred sixty-four million, three hundred ninety-six thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 244637 489274 733911 978548 1467822 1712459 1957096 2935644 3424918 3914192 5137377 5871288 6849836 7828384 10274754 11742576 13699672 20549508 23485152 27399344 41099016 54798688 82198032 164396064