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19968354 = 2327192439
BaseRepresentation
bin100110000101…
…1000101100010
31101120111102200
41030023011202
520102441404
61551554030
7331504530
oct114130542
941514380
1019968354
11102a957a
12682b916
1341a1bc3
14291b150
151b46839
hex130b162

19968354 has 72 divisors (see below), whose sum is σ = 52303680. Its totient is φ = 5392656.

The previous prime is 19968349. The next prime is 19968379. The reversal of 19968354 is 45386991.

It is a happy number.

It is a super-2 number, since 2×199683542 = 797470322938632, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 45267 + ... + 45705.

It is an arithmetic number, because the mean of its divisors is an integer number (726440).

Almost surely, 219968354 is an apocalyptic number.

19968354 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 19968354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26151840).

19968354 is an abundant number, since it is smaller than the sum of its proper divisors (32335326).

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

19968354 is a wasteful number, since it uses less digits than its factorization.

19968354 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 470 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 19968354 is about 4468.5964239345. The cubic root of 19968354 is about 271.2985186486.

The spelling of 19968354 in words is "nineteen million, nine hundred sixty-eight thousand, three hundred fifty-four".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 114 126 133 171 266 342 361 399 439 722 798 878 1083 1197 1317 2166 2394 2527 2634 3073 3249 3951 5054 6146 6498 7581 7902 8341 9219 15162 16682 18438 22743 25023 27657 45486 50046 55314 58387 75069 116774 150138 158479 175161 316958 350322 475437 525483 950874 1050966 1109353 1426311 2218706 2852622 3328059 6656118 9984177 19968354