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19806304 = 257293049
BaseRepresentation
bin100101110001…
…1100001100000
31101021021010211
41023203201200
520032300204
61544303504
7330231220
oct113434140
941237124
1019806304
11101a8851
126771b94
13414620b
1428b8080
151b13804
hex12e3860

19806304 has 48 divisors (see below), whose sum is σ = 46116000. Its totient is φ = 8193024.

The previous prime is 19806299. The next prime is 19806307. The reversal of 19806304 is 40360891.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19806307) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4972 + ... + 8020.

It is an arithmetic number, because the mean of its divisors is an integer number (960750).

Almost surely, 219806304 is an apocalyptic number.

19806304 is a gapful number since it is divisible by the number (14) 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 19806304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23058000).

19806304 is an abundant number, since it is smaller than the sum of its proper divisors (26309696).

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

19806304 is a wasteful number, since it uses less digits than its factorization.

19806304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3095 (or 3087 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 31.

The square root of 19806304 is about 4450.4273952060. The cubic root of 19806304 is about 270.5626310626.

The spelling of 19806304 in words is "nineteen million, eight hundred six thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 112 116 203 224 232 406 464 812 928 1624 3049 3248 6098 6496 12196 21343 24392 42686 48784 85372 88421 97568 170744 176842 341488 353684 618947 682976 707368 1237894 1414736 2475788 2829472 4951576 9903152 19806304