Search a number
-
+
20323008 = 263319619
BaseRepresentation
bin100110110000…
…1101011000000
31102020111221000
41031201223000
520200314013
62003332000
7334512516
oct115415300
942214830
1020323008
1110520a82
126981000
134297464
1429b04b6
151bb6973
hex1361ac0

20323008 has 112 divisors (see below), whose sum is σ = 62992000. Its totient is φ = 6407424.

The previous prime is 20322983. The next prime is 20323013. The reversal of 20323008 is 80032302.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32523 + ... + 33141.

Almost surely, 220323008 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 20323008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31496000).

20323008 is an abundant number, since it is smaller than the sum of its proper divisors (42668992).

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

20323008 is a wasteful number, since it uses less digits than its factorization.

20323008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 20323008 is about 4508.1047015348. The cubic root of 20323008 is about 272.8952623218.

The spelling of 20323008 in words is "twenty million, three hundred twenty-three thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 144 152 171 192 216 228 288 304 342 432 456 513 576 608 619 684 864 912 1026 1216 1238 1368 1728 1824 1857 2052 2476 2736 3648 3714 4104 4952 5472 5571 7428 8208 9904 10944 11142 11761 14856 16416 16713 19808 22284 23522 29712 32832 33426 35283 39616 44568 47044 59424 66852 70566 89136 94088 105849 118848 133704 141132 178272 188176 211698 267408 282264 317547 356544 376352 423396 534816 564528 635094 752704 846792 1069632 1129056 1270188 1693584 2258112 2540376 3387168 5080752 6774336 10161504 20323008