Search a number
-
+
16320240 = 24325191193
BaseRepresentation
bin111110010000…
…011011110000
31010201011011100
4332100123300
513134221430
61341444400
7255501606
oct76203360
933634140
1016320240
119237702
125570700
1334c5561
14224b876
151675960
hexf906f0

16320240 has 120 divisors (see below), whose sum is σ = 57741840. Its totient is φ = 4119552.

The previous prime is 16320223. The next prime is 16320253. The reversal of 16320240 is 4202361.

It is a happy number.

16320240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13084 + ... + 14276.

It is an arithmetic number, because the mean of its divisors is an integer number (481182).

Almost surely, 216320240 is an apocalyptic number.

16320240 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 16320240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28870920).

16320240 is an abundant number, since it is smaller than the sum of its proper divisors (41421600).

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

16320240 is a wasteful number, since it uses less digits than its factorization.

16320240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1231 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 16320240 is about 4039.8316796619. The cubic root of 16320240 is about 253.6542716065.

The spelling of 16320240 in words is "sixteen million, three hundred twenty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 30 36 38 40 45 48 57 60 72 76 80 90 95 114 120 144 152 171 180 190 228 240 285 304 342 360 380 456 570 684 720 760 855 912 1140 1193 1368 1520 1710 2280 2386 2736 3420 3579 4560 4772 5965 6840 7158 9544 10737 11930 13680 14316 17895 19088 21474 22667 23860 28632 35790 42948 45334 47720 53685 57264 68001 71580 85896 90668 95440 107370 113335 136002 143160 171792 181336 204003 214740 226670 272004 286320 340005 362672 408006 429480 453340 544008 680010 816012 858960 906680 1020015 1088016 1360020 1632024 1813360 2040030 2720040 3264048 4080060 5440080 8160120 16320240