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20214320 = 245736097
BaseRepresentation
bin100110100011…
…1001000110000
31102000222211112
41031013020300
520133324240
62001132452
7333550610
oct115071060
942028745
1020214320
1110457355
12692a128
134259b49
142982a40
151b94665
hex1347230

20214320 has 40 divisors (see below), whose sum is σ = 53713824. Its totient is φ = 6930432.

The previous prime is 20214319. The next prime is 20214323. The reversal of 20214320 is 2341202.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 20214295 and 20214304.

It is not an unprimeable number, because it can be changed into a prime (20214323) 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, 17489 + ... + 18608.

Almost surely, 220214320 is an apocalyptic number.

20214320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20214320 is an abundant number, since it is smaller than the sum of its proper divisors (33499504).

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

20214320 is a wasteful number, since it uses less digits than its factorization.

20214320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36117 (or 36111 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 20214320 is about 4496.0338077021. The cubic root of 20214320 is about 272.4079087292.

Adding to 20214320 its reverse (2341202), we get a palindrome (22555522).

The spelling of 20214320 in words is "twenty million, two hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 36097 72194 144388 180485 252679 288776 360970 505358 577552 721940 1010716 1263395 1443880 2021432 2526790 2887760 4042864 5053580 10107160 20214320