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19894368 = 2531319839
BaseRepresentation
bin100101111100…
…1000001100000
31101102201221110
41023321001200
520043104433
61550223320
7331046034
oct113710140
941381843
1019894368
1110258a2a
1267b4b40
134177320
1428dc1c4
151b2e963
hex12f9060

19894368 has 96 divisors (see below), whose sum is σ = 59270400. Its totient is φ = 5792256.

The previous prime is 19894367. The next prime is 19894373. The reversal of 19894368 is 86349891.

19894368 = T77 + T78 + ... + T492.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19894367) 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, 23293 + ... + 24131.

It is an arithmetic number, because the mean of its divisors is an integer number (617400).

Almost surely, 219894368 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 19894368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29635200).

19894368 is an abundant number, since it is smaller than the sum of its proper divisors (39376032).

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

19894368 is a wasteful number, since it uses less digits than its factorization.

19894368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 884 (or 876 counting only the distinct ones).

The product of its digits is 373248, while the sum is 48.

The square root of 19894368 is about 4460.3103031067. The cubic root of 19894368 is about 270.9630355850.

The spelling of 19894368 in words is "nineteen million, eight hundred ninety-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 76 78 96 104 114 152 156 208 228 247 304 312 416 456 494 608 624 741 839 912 988 1248 1482 1678 1824 1976 2517 2964 3356 3952 5034 5928 6712 7904 10068 10907 11856 13424 15941 20136 21814 23712 26848 31882 32721 40272 43628 47823 63764 65442 80544 87256 95646 127528 130884 174512 191292 207233 255056 261768 349024 382584 414466 510112 523536 621699 765168 828932 1047072 1243398 1530336 1657864 2486796 3315728 4973592 6631456 9947184 19894368