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20072844 = 223211173293
BaseRepresentation
bin100110010010…
…0100110001100
31101202210202200
41030210212030
520114312334
61554121500
7332421261
oct114444614
941683680
1020072844
1110370030
126880290
13420a62c
142947268
151b67799
hex132498c

20072844 has 72 divisors (see below), whose sum is σ = 55862352. Its totient is φ = 6026880.

The previous prime is 20072839. The next prime is 20072867. The reversal of 20072844 is 44827002.

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, 68362 + ... + 68654.

It is an arithmetic number, because the mean of its divisors is an integer number (775866).

Almost surely, 220072844 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 20072844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27931176).

20072844 is an abundant number, since it is smaller than the sum of its proper divisors (35789508).

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

20072844 is a wasteful number, since it uses less digits than its factorization.

20072844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 20072844 is about 4480.2727595538. The cubic root of 20072844 is about 271.7709107681.

Adding to 20072844 its reverse (44827002), we get a palindrome (64899846).

It can be divided in two parts, 2007 and 2844, that added together give a triangular number (4851 = T98).

The spelling of 20072844 in words is "twenty million, seventy-two thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 173 198 293 346 396 519 586 692 879 1038 1172 1557 1758 1903 2076 2637 3114 3223 3516 3806 5274 5709 6228 6446 7612 9669 10548 11418 12892 17127 19338 22836 29007 34254 38676 50689 58014 68508 101378 116028 152067 202756 304134 456201 557579 608268 912402 1115158 1672737 1824804 2230316 3345474 5018211 6690948 10036422 20072844