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20706552 = 23321392069
BaseRepresentation
bin100111011111…
…1010011111000
31102222000001100
41032333103320
520300102202
62015451400
7341000646
oct116772370
942860040
1020706552
1110763159
126b26b60
13439cbc9
142a70196
151c4041c
hex13bf4f8

20706552 has 48 divisors (see below), whose sum is σ = 56511000. Its totient is φ = 6849216.

The previous prime is 20706503. The next prime is 20706557. The reversal of 20706552 is 25560702.

20706552 is a `hidden beast` number, since 2 + 0 + 7 + 0 + 655 + 2 = 666.

It is a super-2 number, since 2×207065522 = 857522591457408, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20706557) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8974 + ... + 11042.

Almost surely, 220706552 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 20706552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28255500).

20706552 is an abundant number, since it is smaller than the sum of its proper divisors (35804448).

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

20706552 is a wasteful number, since it uses less digits than its factorization.

20706552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2220 (or 2213 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 20706552 is about 4550.4452529395. The cubic root of 20706552 is about 274.6013043431.

The spelling of 20706552 in words is "twenty million, seven hundred six thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 139 278 417 556 834 1112 1251 1668 2069 2502 3336 4138 5004 6207 8276 10008 12414 16552 18621 24828 37242 49656 74484 148968 287591 575182 862773 1150364 1725546 2300728 2588319 3451092 5176638 6902184 10353276 20706552