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16320040 = 23511291279
BaseRepresentation
bin111110010000…
…011000101000
31010201010212221
4332100120220
513134220130
61341443424
7255501202
oct76203050
933633787
1016320040
119237540
125570574
1334c5439
14224b772
15167587a
hexf90628

16320040 has 64 divisors (see below), whose sum is σ = 41472000. Its totient is φ = 5725440.

The previous prime is 16320037. The next prime is 16320047. The reversal of 16320040 is 4002361.

It is a junction number, because it is equal to n+sod(n) for n = 16319996 and 16320023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16320047) 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, 12121 + ... + 13399.

It is an arithmetic number, because the mean of its divisors is an integer number (648000).

Almost surely, 216320040 is an apocalyptic number.

16320040 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 16320040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20736000).

16320040 is an abundant number, since it is smaller than the sum of its proper divisors (25151960).

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

16320040 is a wasteful number, since it uses less digits than its factorization.

16320040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1330 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 16320040 is about 4039.8069260795. The cubic root of 16320040 is about 253.6532354481.

The spelling of 16320040 in words is "sixteen million, three hundred twenty thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 29 40 44 55 58 88 110 116 145 220 232 290 319 440 580 638 1160 1276 1279 1595 2552 2558 3190 5116 6380 6395 10232 12760 12790 14069 25580 28138 37091 51160 56276 70345 74182 112552 140690 148364 185455 281380 296728 370910 408001 562760 741820 816002 1483640 1632004 2040005 3264008 4080010 8160020 16320040