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165141060 = 2235717101229
BaseRepresentation
bin10011101011111…
…01101001000100
3102111202000221120
421311331221010
5314234003220
624215313540
74043450550
oct1165755104
9374660846
10165141060
1185243a17
124737b8b0
13282a0806
1417d0a860
15e770a40
hex9d7da44

165141060 has 192 divisors, whose sum is σ = 567544320. Its totient is φ = 35020800.

The previous prime is 165141037. The next prime is 165141073. The reversal of 165141060 is 60141561.

165141060 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1651410603 (a number of 26 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 165141060.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 721026 + ... + 721254.

It is an arithmetic number, because the mean of its divisors is an integer number (2955960).

Almost surely, 2165141060 is an apocalyptic number.

165141060 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 165141060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283772160).

165141060 is an abundant number, since it is smaller than the sum of its proper divisors (402403260).

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

165141060 is a wasteful number, since it uses less digits than its factorization.

165141060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 165141060 is about 12850.7221586960. The cubic root of 165141060 is about 548.6369110897.

The spelling of 165141060 in words is "one hundred sixty-five million, one hundred forty-one thousand, sixty".