Search a number
-
+
164720576 = 2619135461
BaseRepresentation
bin10011101000101…
…10111111000000
3102110221200011002
421310112333000
5314132024301
624202311132
74040046626
oct1164267700
9373850132
10164720576
1184a87009
12471b84a8
13281842c7
1417c3b516
15e6db16b
hex9d16fc0

164720576 has 28 divisors (see below), whose sum is σ = 344073480. Its totient is φ = 78024960.

The previous prime is 164720537. The next prime is 164720581. The reversal of 164720576 is 675027461.

164720576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 66515 + ... + 68946.

Almost surely, 2164720576 is an apocalyptic number.

164720576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

164720576 is an abundant number, since it is smaller than the sum of its proper divisors (179352904).

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

164720576 is a wasteful number, since it uses less digits than its factorization.

164720576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135492 (or 135482 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 38.

The square root of 164720576 is about 12834.3514055055. The cubic root of 164720576 is about 548.1708668523.

The spelling of 164720576 in words is "one hundred sixty-four million, seven hundred twenty thousand, five hundred seventy-six".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 304 608 1216 135461 270922 541844 1083688 2167376 2573759 4334752 5147518 8669504 10295036 20590072 41180144 82360288 164720576