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19964340 = 22335113361
BaseRepresentation
bin100110000101…
…0000110110100
31101120021221000
41030022012310
520102324330
61551523300
7331460034
oct114120664
941507830
1019964340
11102a6560
126829530
1341a0126
1429198c4
151b45560
hex130a1b4

19964340 has 96 divisors (see below), whose sum is σ = 67777920. Its totient is φ = 4838400.

The previous prime is 19964339. The next prime is 19964353. The reversal of 19964340 is 4346991.

19964340 is a `hidden beast` number, since 1 + 9 + 9 + 643 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 19964295 and 19964304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4260 + ... + 7620.

It is an arithmetic number, because the mean of its divisors is an integer number (706020).

Almost surely, 219964340 is an apocalyptic number.

19964340 is a gapful number since it is divisible by the number (10) 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 19964340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33888960).

19964340 is an abundant number, since it is smaller than the sum of its proper divisors (47813580).

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

19964340 is a wasteful number, since it uses less digits than its factorization.

19964340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3390 (or 3382 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 19964340 is about 4468.1472670448. The cubic root of 19964340 is about 271.2803387954.

It can be divided in two parts, 1996 and 4340, that added together give a palindrome (6336).

The spelling of 19964340 in words is "nineteen million, nine hundred sixty-four thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2970 3361 5940 6722 10083 13444 16805 20166 30249 33610 36971 40332 50415 60498 67220 73942 90747 100830 110913 120996 147884 151245 181494 184855 201660 221826 302490 332739 362988 369710 443652 453735 554565 604980 665478 739420 907470 998217 1109130 1330956 1663695 1814940 1996434 2218260 3327390 3992868 4991085 6654780 9982170 19964340