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19840896 = 27335741
BaseRepresentation
bin100101110101…
…1111110000000
31101100000121000
41023223332000
520034402041
61545132000
7330434115
oct113537600
941300530
1019840896
1110221839
12678a000
134158b9a
1428c690c
151b1dbb6
hex12ebf80

19840896 has 64 divisors (see below), whose sum is σ = 58568400. Its totient is φ = 6612480.

The previous prime is 19840841. The next prime is 19840913. The reversal of 19840896 is 69804891.

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

It is a super-2 number, since 2×198408962 = 787322308165632, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 586 + ... + 6326.

Almost surely, 219840896 is an apocalyptic number.

19840896 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 19840896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29284200).

19840896 is an abundant number, since it is smaller than the sum of its proper divisors (38727504).

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

19840896 is an equidigital number, since it uses as much as digits as its factorization.

19840896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5764 (or 5746 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 19840896 is about 4454.3120680976. The cubic root of 19840896 is about 270.7200533172.

It can be divided in two parts, 19840 and 896, that added together give a 4-th power (20736 = 124).

The spelling of 19840896 in words is "nineteen million, eight hundred forty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 5741 11482 17223 22964 34446 45928 51669 68892 91856 103338 137784 155007 183712 206676 275568 310014 367424 413352 551136 620028 734848 826704 1102272 1240056 1653408 2204544 2480112 3306816 4960224 6613632 9920448 19840896