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164168060 = 22571796551
BaseRepresentation
bin10011100100100…
…00000101111100
3102102220121020112
421302100011330
5314011334220
624142405152
74032256040
oct1162200574
9372817215
10164168060
1184739991
1246b907b8
132801c984
1417b36020
15e62c5c5
hex9c9017c

164168060 has 48 divisors (see below), whose sum is σ = 396264960. Its totient is φ = 55963200.

The previous prime is 164168057. The next prime is 164168063. The reversal of 164168060 is 60861461.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (164168057) and next prime (164168063).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164168063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21785 + ... + 28335.

It is an arithmetic number, because the mean of its divisors is an integer number (8255520).

Almost surely, 2164168060 is an apocalyptic number.

164168060 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 164168060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198132480).

164168060 is an abundant number, since it is smaller than the sum of its proper divisors (232096900).

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

164168060 is a wasteful number, since it uses less digits than its factorization.

164168060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6746 (or 6744 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 164168060 is about 12812.8084353119. The cubic root of 164168060 is about 547.5572773559.

The spelling of 164168060 in words is "one hundred sixty-four million, one hundred sixty-eight thousand, sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 179 358 716 895 1253 1790 2506 3580 5012 6265 6551 12530 13102 25060 26204 32755 45857 65510 91714 131020 183428 229285 458570 917140 1172629 2345258 4690516 5863145 8208403 11726290 16416806 23452580 32833612 41042015 82084030 164168060