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16961568 = 2531313591
BaseRepresentation
bin100000010110…
…1000000100000
31011220201220020
41000231000200
513320232233
61403313440
7264112431
oct100550040
934821806
1016961568
119635528
12581b880
13368b440
142377488
1517509b3
hex102d020

16961568 has 48 divisors (see below), whose sum is σ = 47952576. Its totient is φ = 5218560.

The previous prime is 16961561. The next prime is 16961569. The reversal of 16961568 is 86516961.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (16961561) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5548 + ... + 8043.

It is an arithmetic number, because the mean of its divisors is an integer number (999012).

Almost surely, 216961568 is an apocalyptic number.

It is an amenable number.

16961568 is an abundant number, since it is smaller than the sum of its proper divisors (30991008).

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

16961568 is a wasteful number, since it uses less digits than its factorization.

16961568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13617 (or 13609 counting only the distinct ones).

The product of its digits is 77760, while the sum is 42.

The square root of 16961568 is about 4118.4424240239. The cubic root of 16961568 is about 256.9342491540.

The spelling of 16961568 in words is "sixteen million, nine hundred sixty-one thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 13591 27182 40773 54364 81546 108728 163092 176683 217456 326184 353366 434912 530049 652368 706732 1060098 1304736 1413464 2120196 2826928 4240392 5653856 8480784 16961568