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16979004 = 2233737607
BaseRepresentation
bin100000011000…
…1010000111100
31011221121211000
41000301100330
513321312004
61403530300
7264214320
oct100612074
934847730
1016979004
119647639
125829990
133696363
14237d980
151755c39
hex103143c

16979004 has 96 divisors (see below), whose sum is σ = 51752960. Its totient is φ = 4712256.

The previous prime is 16978999. The next prime is 16979021. The reversal of 16979004 is 40097961.

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

It is a self number, because there is not a number n which added to its sum of digits gives 16979004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27669 + ... + 28275.

Almost surely, 216979004 is an apocalyptic number.

16979004 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 16979004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25876480).

16979004 is an abundant number, since it is smaller than the sum of its proper divisors (34773956).

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

16979004 is a wasteful number, since it uses less digits than its factorization.

16979004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 16979004 is about 4120.5586999823. The cubic root of 16979004 is about 257.0222593225.

It can be divided in two parts, 1697 and 9004, that added together give a palindrome (10701).

The spelling of 16979004 in words is "sixteen million, nine hundred seventy-nine thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 37 42 54 63 74 84 108 111 126 148 189 222 252 259 333 378 444 518 607 666 756 777 999 1036 1214 1332 1554 1821 1998 2331 2428 3108 3642 3996 4249 4662 5463 6993 7284 8498 9324 10926 12747 13986 16389 16996 21852 22459 25494 27972 32778 38241 44918 50988 65556 67377 76482 89836 114723 134754 152964 157213 202131 229446 269508 314426 404262 458892 471639 606393 628852 808524 943278 1212786 1414917 1886556 2425572 2829834 4244751 5659668 8489502 16979004