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18074016 = 253419367
BaseRepresentation
bin100010011110…
…0100110100000
31021000020220000
41010330212200
514111332031
61443220000
7306424632
oct104744640
937006800
1018074016
11a225304
126077600
13398a8ac
142586a52
1518c03e6
hex113c9a0

18074016 has 120 divisors (see below), whose sum is σ = 56105280. Its totient is φ = 5692032.

The previous prime is 18073981. The next prime is 18074027. The reversal of 18074016 is 61047081.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 49065 + ... + 49431.

It is an arithmetic number, because the mean of its divisors is an integer number (467544).

Almost surely, 218074016 is an apocalyptic number.

18074016 is a gapful number since it is divisible by the number (16) 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 18074016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28052640).

18074016 is an abundant number, since it is smaller than the sum of its proper divisors (38031264).

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

18074016 is a wasteful number, since it uses less digits than its factorization.

18074016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 391 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 18074016 is about 4251.3546076515. The cubic root of 18074016 is about 262.4328644639.

The spelling of 18074016 in words is "eighteen million, seventy-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 81 96 108 114 144 152 162 171 216 228 288 304 324 342 367 432 456 513 608 648 684 734 864 912 1026 1101 1296 1368 1468 1539 1824 2052 2202 2592 2736 2936 3078 3303 4104 4404 5472 5872 6156 6606 6973 8208 8808 9909 11744 12312 13212 13946 16416 17616 19818 20919 24624 26424 27892 29727 35232 39636 41838 49248 52848 55784 59454 62757 79272 83676 105696 111568 118908 125514 158544 167352 188271 223136 237816 251028 317088 334704 376542 475632 502056 564813 669408 753084 951264 1004112 1129626 1506168 2008224 2259252 3012336 4518504 6024672 9037008 18074016