Search a number
-
+
16904664 = 23327171973
BaseRepresentation
bin100000001111…
…1000111011000
31011210211211200
41000133013120
513311422124
61402154200
7263454510
oct100370730
934724750
1016904664
1195a67a7
1257b2960
13366b57a
142360840
15173dbc9
hex101f1d8

16904664 has 96 divisors (see below), whose sum is σ = 55429920. Its totient is φ = 4543488.

The previous prime is 16904663. The next prime is 16904711. The reversal of 16904664 is 46640961.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16904663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7582 + ... + 9554.

It is an arithmetic number, because the mean of its divisors is an integer number (577395).

Almost surely, 216904664 is an apocalyptic number.

16904664 is a gapful number since it is divisible by the number (14) 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 16904664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27714960).

16904664 is an abundant number, since it is smaller than the sum of its proper divisors (38525256).

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

16904664 is a wasteful number, since it uses less digits than its factorization.

16904664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2009 (or 2002 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 16904664 is about 4111.5281830482. The cubic root of 16904664 is about 256.6465995068.

The spelling of 16904664 in words is "sixteen million, nine hundred four thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 17 18 21 24 28 34 36 42 51 56 63 68 72 84 102 119 126 136 153 168 204 238 252 306 357 408 476 504 612 714 952 1071 1224 1428 1973 2142 2856 3946 4284 5919 7892 8568 11838 13811 15784 17757 23676 27622 33541 35514 41433 47352 55244 67082 71028 82866 100623 110488 124299 134164 142056 165732 201246 234787 248598 268328 301869 331464 402492 469574 497196 603738 704361 804984 939148 994392 1207476 1408722 1878296 2113083 2414952 2817444 4226166 5634888 8452332 16904664