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17961996 = 22313217521
BaseRepresentation
bin100010010000…
…1010000001100
31020210120020010
41010201100030
514044240441
61440553220
7305450223
oct104412014
936716203
1017961996
11a159128
126022810
13394b900
142557cba
15189c116
hex112140c

17961996 has 72 divisors (see below), whose sum is σ = 48145104. Its totient is φ = 5191680.

The previous prime is 17961967. The next prime is 17962039. The reversal of 17961996 is 69916971.

17961996 = 3632 + 3642 + ... + 4662.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34216 + ... + 34736.

It is an arithmetic number, because the mean of its divisors is an integer number (668682).

Almost surely, 217961996 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 17961996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24072552).

17961996 is an abundant number, since it is smaller than the sum of its proper divisors (30183108).

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

17961996 is a wasteful number, since it uses less digits than its factorization.

17961996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 556 counting only the distinct ones).

The product of its digits is 183708, while the sum is 48.

The square root of 17961996 is about 4238.1595062008. The cubic root of 17961996 is about 261.8895675068.

The spelling of 17961996 in words is "seventeen million, nine hundred sixty-one thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 156 169 204 221 338 442 507 521 663 676 884 1014 1042 1326 1563 2028 2084 2652 2873 3126 5746 6252 6773 8619 8857 11492 13546 17238 17714 20319 26571 27092 34476 35428 40638 53142 81276 88049 106284 115141 176098 230282 264147 345423 352196 460564 528294 690846 1056588 1381692 1496833 2993666 4490499 5987332 8980998 17961996