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20864616 = 2334753349
BaseRepresentation
bin100111110010…
…1111001101000
31110021000212120
41033211321220
520320131431
62023111240
7342226533
oct117457150
943230776
1020864616
1110860993
126ba2520
134426b36
142ab1a1a
151c72196
hex13e5e68

20864616 has 64 divisors (see below), whose sum is σ = 54432000. Its totient is φ = 6659328.

The previous prime is 20864609. The next prime is 20864617. The reversal of 20864616 is 61646802.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (20864617) 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, 59610 + ... + 59958.

It is an arithmetic number, because the mean of its divisors is an integer number (850500).

Almost surely, 220864616 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 20864616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27216000).

20864616 is an abundant number, since it is smaller than the sum of its proper divisors (33567384).

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

20864616 is a wasteful number, since it uses less digits than its factorization.

20864616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 20864616 is about 4567.7802048698. The cubic root of 20864616 is about 275.2982593173.

The spelling of 20864616 in words is "twenty million, eight hundred sixty-four thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 47 53 94 106 141 159 188 212 282 318 349 376 424 564 636 698 1047 1128 1272 1396 2094 2491 2792 4188 4982 7473 8376 9964 14946 16403 18497 19928 29892 32806 36994 49209 55491 59784 65612 73988 98418 110982 131224 147976 196836 221964 393672 443928 869359 1738718 2608077 3477436 5216154 6954872 10432308 20864616