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16630944 = 2531115749
BaseRepresentation
bin111111011100…
…010010100000
31011021221100220
4333130102200
513224142234
61352243040
7261234501
oct77342240
934257326
1016630944
11942a090
1256a0480
1335a3ac5
1422ccba8
1516d7a49
hexfdc4a0

16630944 has 48 divisors (see below), whose sum is σ = 47628000. Its totient is φ = 5039360.

The previous prime is 16630931. The next prime is 16630961. The reversal of 16630944 is 44903661.

16630944 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×166309442 = 553176596662272, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6819 + ... + 8930.

It is an arithmetic number, because the mean of its divisors is an integer number (992250).

Almost surely, 216630944 is an apocalyptic number.

It is an amenable number.

16630944 is an abundant number, since it is smaller than the sum of its proper divisors (30997056).

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

16630944 is a wasteful number, since it uses less digits than its factorization.

16630944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15773 (or 15765 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 16630944 is about 4078.1054424818. The cubic root of 16630944 is about 255.2538494804.

The spelling of 16630944 in words is "sixteen million, six hundred thirty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 15749 31498 47247 62996 94494 125992 173239 188988 251984 346478 377976 503968 519717 692956 755952 1039434 1385912 1511904 2078868 2771824 4157736 5543648 8315472 16630944