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20969844 = 22372191877
BaseRepresentation
bin100111111111…
…1100101110100
31110110101012220
41033333211310
520332013334
62025242340
7343145400
oct117774564
943411186
1020969844
1110922a55
1270333b0
1344629bc
142adc100
151c93449
hex13ff974

20969844 has 72 divisors (see below), whose sum is σ = 59945760. Its totient is φ = 5673024.

The previous prime is 20969833. The next prime is 20969869. The reversal of 20969844 is 44896902.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 20969796 and 20969805.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10234 + ... + 12110.

It is an arithmetic number, because the mean of its divisors is an integer number (832580).

Almost surely, 220969844 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 20969844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29972880).

20969844 is an abundant number, since it is smaller than the sum of its proper divisors (38975916).

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

20969844 is a wasteful number, since it uses less digits than its factorization.

20969844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1917 (or 1908 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 20969844 is about 4579.2842235441. The cubic root of 20969844 is about 275.7602938708.

The spelling of 20969844 in words is "twenty million, nine hundred sixty-nine thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 49 57 76 84 98 114 133 147 196 228 266 294 399 532 588 798 931 1596 1862 1877 2793 3724 3754 5586 5631 7508 11172 11262 13139 22524 26278 35663 39417 52556 71326 78834 91973 106989 142652 157668 183946 213978 249641 275919 367892 427956 499282 551838 748923 998564 1103676 1497846 1747487 2995692 3494974 5242461 6989948 10484922 20969844