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16064120 = 2351923919
BaseRepresentation
bin111101010001…
…111001111000
31010020010211102
4331101321320
513103022440
61332150532
7253354112
oct75217170
933203742
1016064120
119082236
125468448
133435ac7
1421c23b2
151624b15
hexf51e78

16064120 has 64 divisors (see below), whose sum is σ = 39744000. Its totient is φ = 5816448.

The previous prime is 16064119. The next prime is 16064123. The reversal of 16064120 is 2146061.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 16064092 and 16064101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16064123) 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, 17021 + ... + 17939.

It is an arithmetic number, because the mean of its divisors is an integer number (621000).

Almost surely, 216064120 is an apocalyptic number.

16064120 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 16064120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19872000).

16064120 is an abundant number, since it is smaller than the sum of its proper divisors (23679880).

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

16064120 is a wasteful number, since it uses less digits than its factorization.

16064120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 16064120 is about 4008.0069860219. The cubic root of 16064120 is about 252.3203702312.

The spelling of 16064120 in words is "sixteen million, sixty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 19 20 23 38 40 46 76 92 95 115 152 184 190 230 380 437 460 760 874 919 920 1748 1838 2185 3496 3676 4370 4595 7352 8740 9190 17461 17480 18380 21137 34922 36760 42274 69844 84548 87305 105685 139688 169096 174610 211370 349220 401603 422740 698440 803206 845480 1606412 2008015 3212824 4016030 8032060 16064120