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16380320 = 2551141227
BaseRepresentation
bin111110011111…
…000110100000
31010211012120112
4332133012200
513143132240
61343030452
7256142015
oct76370640
933735515
1016380320
119278860
12559b428
1335169c8
14226570c
151688665
hexf9f1a0

16380320 has 96 divisors (see below), whose sum is σ = 43436736. Its totient is φ = 5785600.

The previous prime is 16380317. The next prime is 16380349. The reversal of 16380320 is 2308361.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72047 + ... + 72273.

It is an arithmetic number, because the mean of its divisors is an integer number (452466).

Almost surely, 216380320 is an apocalyptic number.

16380320 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 16380320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21718368).

16380320 is an abundant number, since it is smaller than the sum of its proper divisors (27056416).

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

16380320 is a wasteful number, since it uses less digits than its factorization.

16380320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 16380320 is about 4047.2608020734. The cubic root of 16380320 is about 253.9651511493.

Adding to 16380320 its reverse (2308361), we get a palindrome (18688681).

The spelling of 16380320 in words is "sixteen million, three hundred eighty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 41 44 55 80 82 88 110 160 164 176 205 220 227 328 352 410 440 451 454 656 820 880 902 908 1135 1312 1640 1760 1804 1816 2255 2270 2497 3280 3608 3632 4510 4540 4994 6560 7216 7264 9020 9080 9307 9988 12485 14432 18040 18160 18614 19976 24970 36080 36320 37228 39952 46535 49940 72160 74456 79904 93070 99880 102377 148912 186140 199760 204754 297824 372280 399520 409508 511885 744560 819016 1023770 1489120 1638032 2047540 3276064 4095080 8190160 16380320