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20218704 = 24311149257
BaseRepresentation
bin100110100100…
…0001101010000
31102001012211220
41031020031100
520133444304
62001205040
7333566442
oct115101520
942035756
1020218704
111045a680
126930780
13425bb3c
142984492
151b95ad9
hex1348350

20218704 has 80 divisors (see below), whose sum is σ = 57585600. Its totient is φ = 6062080.

The previous prime is 20218703. The next prime is 20218711. The reversal of 20218704 is 40781202.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20218703) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78544 + ... + 78800.

It is an arithmetic number, because the mean of its divisors is an integer number (719820).

Almost surely, 220218704 is an apocalyptic number.

20218704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20218704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28792800).

20218704 is an abundant number, since it is smaller than the sum of its proper divisors (37366896).

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

20218704 is a wasteful number, since it uses less digits than its factorization.

20218704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 24.

The square root of 20218704 is about 4496.5213220889. The cubic root of 20218704 is about 272.4276002144.

Adding to 20218704 its reverse (40781202), we get a palindrome (60999906).

The spelling of 20218704 in words is "twenty million, two hundred eighteen thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 149 176 257 264 298 447 514 528 596 771 894 1028 1192 1542 1639 1788 2056 2384 2827 3084 3278 3576 4112 4917 5654 6168 6556 7152 8481 9834 11308 12336 13112 16962 19668 22616 26224 33924 38293 39336 45232 67848 76586 78672 114879 135696 153172 229758 306344 421223 459516 612688 842446 919032 1263669 1684892 1838064 2527338 3369784 5054676 6739568 10109352 20218704