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20973344 = 257109859
BaseRepresentation
bin101000000000…
…0011100100000
31110110120000112
41100000130200
520332121334
62025310452
7343161530
oct120003440
943416015
1020973344
1110925647
127035428
134464482
142add4c0
151c944ce
hex1400720

20973344 has 48 divisors (see below), whose sum is σ = 47678400. Its totient is φ = 8895744.

The previous prime is 20973341. The next prime is 20973347. The reversal of 20973344 is 44337902.

It is an interprime number because it is at equal distance from previous prime (20973341) and next prime (20973347).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 20973344.

It is not an unprimeable number, because it can be changed into a prime (20973341) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23987 + ... + 24845.

It is an arithmetic number, because the mean of its divisors is an integer number (993300).

Almost surely, 220973344 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 20973344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23839200).

20973344 is an abundant number, since it is smaller than the sum of its proper divisors (26705056).

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

20973344 is a wasteful number, since it uses less digits than its factorization.

20973344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 985 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 32.

The square root of 20973344 is about 4579.6663633937. Note that the first 3 decimals coincide. The cubic root of 20973344 is about 275.7756350648.

The spelling of 20973344 in words is "twenty million, nine hundred seventy-three thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 109 112 218 224 436 763 859 872 1526 1718 1744 3052 3436 3488 6013 6104 6872 12026 12208 13744 24052 24416 27488 48104 93631 96208 187262 192416 374524 655417 749048 1310834 1498096 2621668 2996192 5243336 10486672 20973344