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16052040 = 2333589167
BaseRepresentation
bin111101001110…
…111101001000
31010012112021000
4331032331020
513102131130
61332015000
7253303644
oct75167510
933175230
1016052040
119074154
125461460
133430464
1421bbc24
151621260
hexf4ef48

16052040 has 128 divisors (see below), whose sum is σ = 54432000. Its totient is φ = 4207104.

The previous prime is 16052027. The next prime is 16052041. The reversal of 16052040 is 4025061.

It is a happy number.

16052040 is a `hidden beast` number, since 1 + 605 + 20 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (16052041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 96037 + ... + 96203.

It is an arithmetic number, because the mean of its divisors is an integer number (425250).

Almost surely, 216052040 is an apocalyptic number.

16052040 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 16052040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27216000).

16052040 is an abundant number, since it is smaller than the sum of its proper divisors (38379960).

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

16052040 is a wasteful number, since it uses less digits than its factorization.

16052040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 16052040 is about 4006.4997192063. The cubic root of 16052040 is about 252.2571072074.

16052040 divided by its sum of digits (18) gives a triangular number (891780 = T1335).

The spelling of 16052040 in words is "sixteen million, fifty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 89 90 108 120 135 167 178 180 216 267 270 334 356 360 445 501 534 540 668 712 801 835 890 1002 1068 1080 1335 1336 1503 1602 1670 1780 2004 2136 2403 2505 2670 3006 3204 3340 3560 4005 4008 4509 4806 5010 5340 6012 6408 6680 7515 8010 9018 9612 10020 10680 12015 12024 14863 15030 16020 18036 19224 20040 22545 24030 29726 30060 32040 36072 44589 45090 48060 59452 60120 74315 89178 90180 96120 118904 133767 148630 178356 180360 222945 267534 297260 356712 401301 445890 535068 594520 668835 802602 891780 1070136 1337670 1605204 1783560 2006505 2675340 3210408 4013010 5350680 8026020 16052040