Search a number
-
+
20874368 = 271753181
BaseRepresentation
bin100111110100…
…0010010000000
31110021112020202
41033220102000
520320434433
62023224332
7342300134
oct117502200
943245222
1020874368
1110868249
126ba80a8
13442b3c8
142ab53c4
151c74ee8
hex13e8480

20874368 has 64 divisors (see below), whose sum is σ = 45110520. Its totient is φ = 9584640.

The previous prime is 20874367. The next prime is 20874379. The reversal of 20874368 is 86347802.

It can be written as a sum of positive squares in 4 ways, for example, as 16581184 + 4293184 = 4072^2 + 2072^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (20874367) 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, 115238 + ... + 115418.

Almost surely, 220874368 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 20874368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22555260).

20874368 is an abundant number, since it is smaller than the sum of its proper divisors (24236152).

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

20874368 is a wasteful number, since it uses less digits than its factorization.

20874368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The square root of 20874368 is about 4568.8475570980. The cubic root of 20874368 is about 275.3411435710.

The spelling of 20874368 in words is "twenty million, eight hundred seventy-four thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 17 32 34 53 64 68 106 128 136 181 212 272 362 424 544 724 848 901 1088 1448 1696 1802 2176 2896 3077 3392 3604 5792 6154 6784 7208 9593 11584 12308 14416 19186 23168 24616 28832 38372 49232 57664 76744 98464 115328 153488 163081 196928 306976 326162 393856 613952 652324 1227904 1304648 2609296 5218592 10437184 20874368