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20816352 = 25352677
BaseRepresentation
bin100111101101…
…0000111100000
31110011120200000
41033122013200
520312110402
62022100000
7341636034
oct117320740
943146600
1020816352
11108286a7
126b7a600
13440ab8b
142a9c1c4
151c62c1c
hex13da1e0

20816352 has 72 divisors (see below), whose sum is σ = 61411896. Its totient is φ = 6936192.

The previous prime is 20816309. The next prime is 20816359. The reversal of 20816352 is 25361802.

20816352 is a `hidden beast` number, since 20 + 8 + 1 + 635 + 2 = 666.

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

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20816359) 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, 6438 + ... + 9114.

It is an arithmetic number, because the mean of its divisors is an integer number (852943).

Almost surely, 220816352 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 20816352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30705948).

20816352 is an abundant number, since it is smaller than the sum of its proper divisors (40595544).

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

20816352 is an equidigital number, since it uses as much as digits as its factorization.

20816352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2702 (or 2682 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 20816352 is about 4562.4940547906. The cubic root of 20816352 is about 275.0858222495.

The spelling of 20816352 in words is "twenty million, eight hundred sixteen thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2592 2677 3888 5354 7776 8031 10708 16062 21416 24093 32124 42832 48186 64248 72279 85664 96372 128496 144558 192744 216837 256992 289116 385488 433674 578232 650511 770976 867348 1156464 1301022 1734696 2312928 2602044 3469392 5204088 6938784 10408176 20816352