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20614752 = 2532312309
BaseRepresentation
bin100111010100…
…0111001100000
31102210100010100
41032220321200
520234133002
62013502400
7340136214
oct116507140
942710110
1020614752
1110700194
126aa1a00
13436a1a2
142a48944
151c2311c
hex13a8e60

20614752 has 72 divisors (see below), whose sum is σ = 60540480. Its totient is φ = 6647040.

The previous prime is 20614747. The next prime is 20614771. The reversal of 20614752 is 25741602.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7774 + ... + 10082.

It is an arithmetic number, because the mean of its divisors is an integer number (840840).

Almost surely, 220614752 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 20614752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30270240).

20614752 is an abundant number, since it is smaller than the sum of its proper divisors (39925728).

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

20614752 is a wasteful number, since it uses less digits than its factorization.

20614752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2356 (or 2345 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 20614752 is about 4540.3471232935. The cubic root of 20614752 is about 274.1948992503.

The spelling of 20614752 in words is "twenty million, six hundred fourteen thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 496 558 744 992 1116 1488 2232 2309 2976 4464 4618 6927 8928 9236 13854 18472 20781 27708 36944 41562 55416 71579 73888 83124 110832 143158 166248 214737 221664 286316 332496 429474 572632 644211 664992 858948 1145264 1288422 1717896 2290528 2576844 3435792 5153688 6871584 10307376 20614752