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16064040 = 2335263509
BaseRepresentation
bin111101010001…
…111000101000
31010020010201110
4331101320220
513103022130
61332150320
7253353636
oct75217050
933203643
1016064040
119082173
1254683a0
133435a65
1421c2356
151624ab0
hexf51e28

16064040 has 64 divisors (see below), whose sum is σ = 48470400. Its totient is φ = 4259072.

The previous prime is 16064033. The next prime is 16064053. The reversal of 16064040 is 4046061.

16064040 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×160640402 = 516106762243200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 16063998 and 16064016.

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, 31306 + ... + 31814.

It is an arithmetic number, because the mean of its divisors is an integer number (757350).

Almost surely, 216064040 is an apocalyptic number.

16064040 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 16064040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24235200).

16064040 is an abundant number, since it is smaller than the sum of its proper divisors (32406360).

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

16064040 is a wasteful number, since it uses less digits than its factorization.

16064040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 786 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 16064040 is about 4007.9970059869. The cubic root of 16064040 is about 252.3199513751.

The spelling of 16064040 in words is "sixteen million, sixty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 263 509 526 789 1018 1052 1315 1527 1578 2036 2104 2545 2630 3054 3156 3945 4072 5090 5260 6108 6312 7635 7890 10180 10520 12216 15270 15780 20360 30540 31560 61080 133867 267734 401601 535468 669335 803202 1070936 1338670 1606404 2008005 2677340 3212808 4016010 5354680 8032020 16064040