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16053960 = 23351341251
BaseRepresentation
bin111101001111…
…011011001000
31010012121220010
4331033123020
513102211320
61332031520
7253312356
oct75173310
933177803
1016053960
11907563a
1254625a0
1334312b0
1421bc7d6
151621ae0
hexf4f6c8

16053960 has 128 divisors (see below), whose sum is σ = 53343360. Its totient is φ = 3840000.

The previous prime is 16053949. The next prime is 16053979. The reversal of 16053960 is 6935061.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63835 + ... + 64085.

It is an arithmetic number, because the mean of its divisors is an integer number (416745).

Almost surely, 216053960 is an apocalyptic number.

16053960 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 16053960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26671680).

16053960 is an abundant number, since it is smaller than the sum of its proper divisors (37289400).

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

16053960 is a wasteful number, since it uses less digits than its factorization.

16053960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 319 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 16053960 is about 4006.7393226912. The cubic root of 16053960 is about 252.2671643784.

It can be divided in two parts, 1605 and 3960, that added together give a triangular number (5565 = T105).

The spelling of 16053960 in words is "sixteen million, fifty-three thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 41 52 60 65 78 82 104 120 123 130 156 164 195 205 246 251 260 312 328 390 410 492 502 520 533 615 753 780 820 984 1004 1066 1230 1255 1506 1560 1599 1640 2008 2132 2460 2510 2665 3012 3198 3263 3765 4264 4920 5020 5330 6024 6396 6526 7530 7995 9789 10040 10291 10660 12792 13052 15060 15990 16315 19578 20582 21320 26104 30120 30873 31980 32630 39156 41164 48945 51455 61746 63960 65260 78312 82328 97890 102910 123492 130520 133783 154365 195780 205820 246984 267566 308730 391560 401349 411640 535132 617460 668915 802698 1070264 1234920 1337830 1605396 2006745 2675660 3210792 4013490 5351320 8026980 16053960