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20969640 = 23325311879
BaseRepresentation
bin100111111111…
…1100010101000
31110110100221100
41033333202220
520332012030
62025241400
7343144656
oct117774250
943410840
1020969640
111092288a
127033260
134462893
142adbdd6
151c93360
hex13ff8a8

20969640 has 96 divisors (see below), whose sum is σ = 70387200. Its totient is φ = 5408640.

The previous prime is 20969623. The next prime is 20969677. The reversal of 20969640 is 4696902.

20969640 is a `hidden beast` number, since 2 + 0 + 9 + 6 + 9 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20969595 and 20969604.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10221 + ... + 12099.

It is an arithmetic number, because the mean of its divisors is an integer number (733200).

Almost surely, 220969640 is an apocalyptic number.

20969640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20969640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35193600).

20969640 is an abundant number, since it is smaller than the sum of its proper divisors (49417560).

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

20969640 is a wasteful number, since it uses less digits than its factorization.

20969640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1927 (or 1920 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 20969640 is about 4579.2619492665. The cubic root of 20969640 is about 275.7593996457.

It can be divided in two parts, 20969 and 640, that added together give a square (21609 = 1472).

The spelling of 20969640 in words is "twenty million, nine hundred sixty-nine thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 31 36 40 45 60 62 72 90 93 120 124 155 180 186 248 279 310 360 372 465 558 620 744 930 1116 1240 1395 1860 1879 2232 2790 3720 3758 5580 5637 7516 9395 11160 11274 15032 16911 18790 22548 28185 33822 37580 45096 56370 58249 67644 75160 84555 112740 116498 135288 169110 174747 225480 232996 291245 338220 349494 465992 524241 582490 676440 698988 873735 1048482 1164980 1397976 1747470 2096964 2329960 2621205 3494940 4193928 5242410 6989880 10484820 20969640