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19938816 = 29324327
BaseRepresentation
bin100110000001…
…1111000000000
31101111222220200
41030003320000
520101020231
61551205200
7331322442
oct114037000
941458820
1019938816
1110289367
126816800
134191621
142910492
151b3cbe6
hex1303e00

19938816 has 60 divisors (see below), whose sum is σ = 57558072. Its totient is φ = 6644736.

The previous prime is 19938803. The next prime is 19938817. The reversal of 19938816 is 61883991.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19938817) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2445 + ... + 6771.

Almost surely, 219938816 is an apocalyptic number.

19938816 is a gapful number since it is divisible by the number (16) 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 19938816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28779036).

19938816 is an abundant number, since it is smaller than the sum of its proper divisors (37619256).

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

19938816 is an equidigital number, since it uses as much as digits as its factorization.

19938816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4351 (or 4332 counting only the distinct ones).

The product of its digits is 93312, while the sum is 45.

The square root of 19938816 is about 4465.2901361502. The cubic root of 19938816 is about 271.1646807060.

The spelling of 19938816 in words is "nineteen million, nine hundred thirty-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4327 4608 8654 12981 17308 25962 34616 38943 51924 69232 77886 103848 138464 155772 207696 276928 311544 415392 553856 623088 830784 1107712 1246176 1661568 2215424 2492352 3323136 4984704 6646272 9969408 19938816