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20707764 = 22371173307
BaseRepresentation
bin100111011111…
…1100110110100
31102222001201020
41032333212310
520300122024
62015501140
7341004330
oct116774664
942861636
1020707764
1110764060
126b277b0
1343a061c
142a707c0
151c40979
hex13bf9b4

20707764 has 96 divisors (see below), whose sum is σ = 61264896. Its totient is φ = 5287680.

The previous prime is 20707759. The next prime is 20707781. The reversal of 20707764 is 46770702.

It is a happy number.

It is a super-2 number, since 2×207077642 = 857622979759392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67299 + ... + 67605.

It is an arithmetic number, because the mean of its divisors is an integer number (638176).

Almost surely, 220707764 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 20707764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30632448).

20707764 is an abundant number, since it is smaller than the sum of its proper divisors (40557132).

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

20707764 is a wasteful number, since it uses less digits than its factorization.

20707764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 16464, while the sum is 33.

The square root of 20707764 is about 4550.5784247720. The cubic root of 20707764 is about 274.6066619112.

The spelling of 20707764 in words is "twenty million, seven hundred seven thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 73 77 84 132 146 154 219 231 292 307 308 438 462 511 614 803 876 921 924 1022 1228 1533 1606 1842 2044 2149 2409 3066 3212 3377 3684 4298 4818 5621 6132 6447 6754 8596 9636 10131 11242 12894 13508 16863 20262 22411 22484 23639 25788 33726 40524 44822 47278 67233 67452 70917 89644 94556 134466 141834 156877 246521 268932 283668 313754 470631 493042 627508 739563 941262 986084 1479126 1725647 1882524 2958252 3451294 5176941 6902588 10353882 20707764