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16620960 = 2535311117
BaseRepresentation
bin111111011001…
…110110100000
31011021102200010
4333121312200
513223332320
61352124520
7261163416
oct77316640
934242603
1016620960
119422634
125696740
13359c3b5
1422c92b6
1516d4ae0
hexfd9da0

16620960 has 96 divisors (see below), whose sum is σ = 54093312. Its totient is φ = 4285440.

The previous prime is 16620943. The next prime is 16620971. The reversal of 16620960 is 6902661.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×166209602 = 552512622643200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14322 + ... + 15438.

It is an arithmetic number, because the mean of its divisors is an integer number (563472).

Almost surely, 216620960 is an apocalyptic number.

16620960 is a gapful number since it is divisible by the number (10) 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 16620960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27046656).

16620960 is an abundant number, since it is smaller than the sum of its proper divisors (37472352).

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

16620960 is a wasteful number, since it uses less digits than its factorization.

16620960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 16620960 is about 4076.8811608876. The cubic root of 16620960 is about 255.2027606872.

The spelling of 16620960 in words is "sixteen million, six hundred twenty thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 80 93 96 120 124 155 160 186 240 248 310 372 465 480 496 620 744 930 992 1117 1240 1488 1860 2234 2480 2976 3351 3720 4468 4960 5585 6702 7440 8936 11170 13404 14880 16755 17872 22340 26808 33510 34627 35744 44680 53616 67020 69254 89360 103881 107232 134040 138508 173135 178720 207762 268080 277016 346270 415524 519405 536160 554032 692540 831048 1038810 1108064 1385080 1662096 2077620 2770160 3324192 4155240 5540320 8310480 16620960