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20616672 = 2531989127
BaseRepresentation
bin100111010100…
…1010111100000
31102210102202110
41032221113200
520234213142
62013515320
7340144626
oct116512740
942712673
1020616672
111070167a
126aa2b40
13436b01b
142a49516
151c2399c
hex13a95e0

20616672 has 96 divisors (see below), whose sum is σ = 58060800. Its totient is φ = 6386688.

The previous prime is 20616667. The next prime is 20616677. The reversal of 20616672 is 27661602.

It is an interprime number because it is at equal distance from previous prime (20616667) and next prime (20616677).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20616677) 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, 162273 + ... + 162399.

It is an arithmetic number, because the mean of its divisors is an integer number (604800).

Almost surely, 220616672 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 20616672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29030400).

20616672 is an abundant number, since it is smaller than the sum of its proper divisors (37444128).

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

20616672 is a wasteful number, since it uses less digits than its factorization.

20616672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 20616672 is about 4540.5585559488. The cubic root of 20616672 is about 274.2034115665.

The spelling of 20616672 in words is "twenty million, six hundred sixteen thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 89 96 114 127 152 178 228 254 267 304 356 381 456 508 534 608 712 762 912 1016 1068 1424 1524 1691 1824 2032 2136 2413 2848 3048 3382 4064 4272 4826 5073 6096 6764 7239 8544 9652 10146 11303 12192 13528 14478 19304 20292 22606 27056 28956 33909 38608 40584 45212 54112 57912 67818 77216 81168 90424 115824 135636 162336 180848 214757 231648 271272 361696 429514 542544 644271 859028 1085088 1288542 1718056 2577084 3436112 5154168 6872224 10308336 20616672