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20716608 = 2631117577
BaseRepresentation
bin100111100000…
…1110001000000
31102222111211210
41033001301000
520300412413
62020010120
7341042163
oct117016100
942874753
1020716608
111076a770
126b30940
1343a4663
142a73ada
151c433c3
hex13c1c40

20716608 has 112 divisors (see below), whose sum is σ = 63422784. Its totient is φ = 5898240.

The previous prime is 20716589. The next prime is 20716609. The reversal of 20716608 is 80661702.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20716609) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35616 + ... + 36192.

Almost surely, 220716608 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 20716608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31711392).

20716608 is an abundant number, since it is smaller than the sum of its proper divisors (42706176).

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

20716608 is a wasteful number, since it uses less digits than its factorization.

20716608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 20716608 is about 4551.5500656370. The cubic root of 20716608 is about 274.6457499179.

The spelling of 20716608 in words is "twenty million, seven hundred sixteen thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 64 66 68 88 96 102 132 136 176 187 192 204 264 272 352 374 408 528 544 561 577 704 748 816 1056 1088 1122 1154 1496 1632 1731 2112 2244 2308 2992 3264 3462 4488 4616 5984 6347 6924 8976 9232 9809 11968 12694 13848 17952 18464 19041 19618 25388 27696 29427 35904 36928 38082 39236 50776 55392 58854 76164 78472 101552 107899 110784 117708 152328 156944 203104 215798 235416 304656 313888 323697 406208 431596 470832 609312 627776 647394 863192 941664 1218624 1294788 1726384 1883328 2589576 3452768 5179152 6905536 10358304 20716608