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20332416 = 273134073
BaseRepresentation
bin100110110001…
…1111110000000
31102020222211110
41031203332000
520201114131
62003443320
7334552116
oct115437600
942228743
1020332416
1110528055
126986540
13429b820
1429b3ab6
151bb9646
hex1363f80

20332416 has 64 divisors (see below), whose sum is σ = 58176720. Its totient is φ = 6254592.

The previous prime is 20332409. The next prime is 20332439. The reversal of 20332416 is 61423302.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 20332392 and 20332401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2956 + ... + 7028.

Almost surely, 220332416 is an apocalyptic number.

20332416 is a gapful number since it is divisible by the number (26) 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 20332416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29088360).

20332416 is an abundant number, since it is smaller than the sum of its proper divisors (37844304).

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

20332416 is a wasteful number, since it uses less digits than its factorization.

20332416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4103 (or 4091 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 20332416 is about 4509.1480348288. The cubic root of 20332416 is about 272.9373657112.

Adding to 20332416 its reverse (61423302), we get a palindrome (81755718).

The spelling of 20332416 in words is "twenty million, three hundred thirty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2496 4073 4992 8146 12219 16292 24438 32584 48876 52949 65168 97752 105898 130336 158847 195504 211796 260672 317694 391008 423592 521344 635388 782016 847184 1270776 1564032 1694368 2541552 3388736 5083104 6777472 10166208 20332416