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164144260 = 22571637193
BaseRepresentation
bin10011100100010…
…10010010000100
3102102212101121001
421302022102010
5314010104020
624142103044
74032126460
oct1162122204
9372771531
10164144260
1184723015
1246b7aa84
1328011ba7
1417b2b4a0
15e62550a
hex9c8a484

164144260 has 48 divisors (see below), whose sum is σ = 396418176. Its totient is φ = 55924992.

The previous prime is 164144251. The next prime is 164144293. The reversal of 164144260 is 62441461.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19224 + ... + 26416.

It is an arithmetic number, because the mean of its divisors is an integer number (8258712).

Almost surely, 2164144260 is an apocalyptic number.

164144260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164144260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198209088).

164144260 is an abundant number, since it is smaller than the sum of its proper divisors (232273916).

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

164144260 is a wasteful number, since it uses less digits than its factorization.

164144260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7372 (or 7370 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 164144260 is about 12811.8796435184. The cubic root of 164144260 is about 547.5308156658.

The spelling of 164144260 in words is "one hundred sixty-four million, one hundred forty-four thousand, two hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 163 326 652 815 1141 1630 2282 3260 4564 5705 7193 11410 14386 22820 28772 35965 50351 71930 100702 143860 201404 251755 503510 1007020 1172459 2344918 4689836 5862295 8207213 11724590 16414426 23449180 32828852 41036065 82072130 164144260