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164630128 = 24134191889
BaseRepresentation
bin10011101000000…
…00111001110000
3102110210002002011
421310000321300
5314121131003
624200332304
74036222135
oct1164007160
9373702064
10164630128
1184a25063
1247174094
13281520a0
1417c1658c
15e6be46d
hex9d00e70

164630128 has 40 divisors (see below), whose sum is σ = 344509200. Its totient is φ = 75761664.

The previous prime is 164630107. The next prime is 164630171. The reversal of 164630128 is 821036461.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 164630128.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 86208 + ... + 88096.

It is an arithmetic number, because the mean of its divisors is an integer number (8612730).

Almost surely, 2164630128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164630128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172254600).

164630128 is an abundant number, since it is smaller than the sum of its proper divisors (179879072).

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

164630128 is a wasteful number, since it uses less digits than its factorization.

164630128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2329 (or 2323 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 31.

The square root of 164630128 is about 12830.8272531431. The cubic root of 164630128 is about 548.0705150171.

Adding to 164630128 its reverse (821036461), we get a palindrome (985666589).

The spelling of 164630128 in words is "one hundred sixty-four million, six hundred thirty thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 52 104 208 419 838 1676 1889 3352 3778 5447 6704 7556 10894 15112 21788 24557 30224 43576 49114 87152 98228 196456 392912 791491 1582982 3165964 6331928 10289383 12663856 20578766 41157532 82315064 164630128