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20319216 = 2431737673
BaseRepresentation
bin100110110000…
…0101111110000
31102020022201120
41031200233300
520200203331
62003302240
7334465461
oct115405760
942208646
1020319216
1110519145
12697a980
134295808
1429acd68
151bb5796
hex1360bf0

20319216 has 80 divisors (see below), whose sum is σ = 57165984. Its totient is φ = 6193152.

The previous prime is 20319197. The next prime is 20319217. The reversal of 20319216 is 61291302.

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 (20319217) 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, 29856 + ... + 30528.

Almost surely, 220319216 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 20319216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28582992).

20319216 is an abundant number, since it is smaller than the sum of its proper divisors (36846768).

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

20319216 is a wasteful number, since it uses less digits than its factorization.

20319216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 20319216 is about 4507.6841060571. The cubic root of 20319216 is about 272.8782884039.

The spelling of 20319216 in words is "twenty million, three hundred nineteen thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 37 48 51 68 74 102 111 136 148 204 222 272 296 408 444 592 629 673 816 888 1258 1346 1776 1887 2019 2516 2692 3774 4038 5032 5384 7548 8076 10064 10768 11441 15096 16152 22882 24901 30192 32304 34323 45764 49802 68646 74703 91528 99604 137292 149406 183056 199208 274584 298812 398416 423317 549168 597624 846634 1195248 1269951 1693268 2539902 3386536 5079804 6773072 10159608 20319216