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19284096 = 273133863
BaseRepresentation
bin100100110010…
…0000010000000
31100021201210210
41021210002000
514414042341
61525154120
7322624566
oct111440200
940251723
1019284096
11a981477
12655b940
133cc2610
1427bda36
151a5dc16
hex1264080

19284096 has 64 divisors (see below), whose sum is σ = 55177920. Its totient is φ = 5932032.

The previous prime is 19284073. The next prime is 19284119. The reversal of 19284096 is 69048291.

It is an interprime number because it is at equal distance from previous prime (19284073) and next prime (19284119).

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

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 3061 + ... + 6923.

It is an arithmetic number, because the mean of its divisors is an integer number (862155).

Almost surely, 219284096 is an apocalyptic number.

19284096 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 19284096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27588960).

19284096 is an abundant number, since it is smaller than the sum of its proper divisors (35893824).

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

19284096 is a wasteful number, since it uses less digits than its factorization.

19284096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3893 (or 3881 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The square root of 19284096 is about 4391.3660744693. The cubic root of 19284096 is about 268.1635594753.

The spelling of 19284096 in words is "nineteen million, two hundred eighty-four thousand, ninety-six".

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 3863 4992 7726 11589 15452 23178 30904 46356 50219 61808 92712 100438 123616 150657 185424 200876 247232 301314 370848 401752 494464 602628 741696 803504 1205256 1483392 1607008 2410512 3214016 4821024 6428032 9642048 19284096