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16890648 = 2332337827
BaseRepresentation
bin100000001101…
…1101100011000
31011210010121120
41000123230120
513311000043
61402005240
7263365605
oct100335430
934703546
1016890648
119597215
1257a6820
133665088
1423596ac
151739983
hex101bb18

16890648 has 64 divisors (see below), whose sum is σ = 45308160. Its totient is φ = 5233536.

The previous prime is 16890637. The next prime is 16890659. The reversal of 16890648 is 84609861.

It is an interprime number because it is at equal distance from previous prime (16890637) and next prime (16890659).

It is a super-3 number, since 3×168906483 (a number of 23 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20011 + ... + 20837.

It is an arithmetic number, because the mean of its divisors is an integer number (707940).

Almost surely, 216890648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16890648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22654080).

16890648 is an abundant number, since it is smaller than the sum of its proper divisors (28417512).

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

16890648 is a wasteful number, since it uses less digits than its factorization.

16890648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 896 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 16890648 is about 4109.8233538681. The cubic root of 16890648 is about 256.5756495931.

The spelling of 16890648 in words is "sixteen million, eight hundred ninety thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 23 24 37 46 69 74 92 111 138 148 184 222 276 296 444 552 827 851 888 1654 1702 2481 2553 3308 3404 4962 5106 6616 6808 9924 10212 19021 19848 20424 30599 38042 57063 61198 76084 91797 114126 122396 152168 183594 228252 244792 367188 456504 703777 734376 1407554 2111331 2815108 4222662 5630216 8445324 16890648