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16387290 = 2325414441
BaseRepresentation
bin111110100000…
…110011011010
31010211120010200
4332200303122
513143343130
61343123030
7256201233
oct76406332
933746120
1016387290
119283017
1255a3476
133519c2a
14226808a
15168a760
hexfa0cda

16387290 has 48 divisors (see below), whose sum is σ = 43655976. Its totient is φ = 4262400.

The previous prime is 16387289. The next prime is 16387321. The reversal of 16387290 is 9278361.

It can be written as a sum of positive squares in 4 ways, for example, as 7901721 + 8485569 = 2811^2 + 2913^2 .

It is an alternating number because its digits alternate between odd and even.

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 23 ways as a sum of consecutive naturals, for example, 1470 + ... + 5910.

Almost surely, 216387290 is an apocalyptic number.

16387290 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16387290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21827988).

16387290 is an abundant number, since it is smaller than the sum of its proper divisors (27268686).

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

16387290 is a wasteful number, since it uses less digits than its factorization.

16387290 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4495 (or 4492 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 16387290 is about 4048.1217867055. The cubic root of 16387290 is about 254.0011676636.

The spelling of 16387290 in words is "sixteen million, three hundred eighty-seven thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 41 45 82 90 123 205 246 369 410 615 738 1230 1845 3690 4441 8882 13323 22205 26646 39969 44410 66615 79938 133230 182081 199845 364162 399690 546243 910405 1092486 1638729 1820810 2731215 3277458 5462430 8193645 16387290