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164019720 = 23351366831
BaseRepresentation
bin10011100011010…
…11111000001000
3102102122001202110
421301223320020
5313442112340
624135302320
74031100414
oct1161537010
9372561673
10164019720
1184648497
1246b1a9a0
1327c9a2b7
1417ad7d44
15e5ed680
hex9c6be08

164019720 has 32 divisors (see below), whose sum is σ = 492059520. Its totient is φ = 43738560.

The previous prime is 164019697. The next prime is 164019731. The reversal of 164019720 is 27910461.

It is a happy number.

164019720 is digitally balanced in base 3, 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 (30).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 683296 + ... + 683535.

It is an arithmetic number, because the mean of its divisors is an integer number (15376860).

Almost surely, 2164019720 is an apocalyptic number.

164019720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164019720 is an abundant number, since it is smaller than the sum of its proper divisors (328039800).

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

164019720 is a wasteful number, since it uses less digits than its factorization.

164019720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366845 (or 1366841 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 164019720 is about 12807.0183883682. The cubic root of 164019720 is about 547.3923059169.

The spelling of 164019720 in words is "one hundred sixty-four million, nineteen thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1366831 2733662 4100493 5467324 6834155 8200986 10934648 13668310 16401972 20502465 27336620 32803944 41004930 54673240 82009860 164019720