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20924964 = 22324783149
BaseRepresentation
bin100111111010…
…0101000100100
31110101002122200
41033310220210
520324044324
62024254500
7342600504
oct117645044
943332580
1020924964
11108a2265
127011430
134448448
142ac9a04
151c84ec9
hex13f4a24

20924964 has 72 divisors (see below), whose sum is σ = 55036800. Its totient is φ = 6699072.

The previous prime is 20924957. The next prime is 20924987. The reversal of 20924964 is 46942902.

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

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, 140362 + ... + 140510.

It is an arithmetic number, because the mean of its divisors is an integer number (764400).

Almost surely, 220924964 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 20924964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27518400).

20924964 is an abundant number, since it is smaller than the sum of its proper divisors (34111836).

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

20924964 is a wasteful number, since it uses less digits than its factorization.

20924964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 20924964 is about 4574.3812696364. The cubic root of 20924964 is about 275.5634244727.

It can be divided in two parts, 2092 and 4964, that added together give a square (7056 = 842).

The spelling of 20924964 in words is "twenty million, nine hundred twenty-four thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 47 83 94 141 149 166 188 249 282 298 332 423 447 498 564 596 747 846 894 996 1341 1494 1692 1788 2682 2988 3901 5364 7003 7802 11703 12367 14006 15604 21009 23406 24734 28012 35109 37101 42018 46812 49468 63027 70218 74202 84036 111303 126054 140436 148404 222606 252108 445212 581249 1162498 1743747 2324996 3487494 5231241 6974988 10462482 20924964