Search a number
-
+
20972259 = 3271153571
BaseRepresentation
bin101000000000…
…0001011100011
31110110111112100
41100000023203
520332103014
62025301443
7343155420
oct120001343
943414470
1020972259
1110924850
127034883
134463b29
142adcd47
151c94009
hex14002e3

20972259 has 48 divisors (see below), whose sum is σ = 38548224. Its totient is φ = 10670400.

The previous prime is 20972233. The next prime is 20972267. The reversal of 20972259 is 95227902.

It is not a de Polignac number, because 20972259 - 217 = 20841187 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (20972269) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36444 + ... + 37014.

It is an arithmetic number, because the mean of its divisors is an integer number (803088).

Almost surely, 220972259 is an apocalyptic number.

20972259 is a deficient number, since it is larger than the sum of its proper divisors (17575965).

20972259 is a wasteful number, since it uses less digits than its factorization.

20972259 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 20972259 is about 4579.5479034507. The cubic root of 20972259 is about 275.7708794772.

It can be divided in two parts, 2097 and 2259, that added together give a square (4356 = 662).

The spelling of 20972259 in words is "twenty million, nine hundred seventy-two thousand, two hundred fifty-nine".

Divisors: 1 3 7 9 11 21 33 53 63 77 99 159 231 371 477 571 583 693 1113 1713 1749 3339 3997 4081 5139 5247 6281 11991 12243 18843 30263 35973 36729 43967 56529 90789 131901 211841 272367 332893 395703 635523 998679 1906569 2330251 2996037 6990753 20972259