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19965348 = 223213371153
BaseRepresentation
bin100110000101…
…0010110100100
31101120100022100
41030022112210
520102342343
61551532100
7331463004
oct114122644
941510270
1019965348
11102a7297
12682a030
1341a0720
14291a004
151b459d3
hex130a5a4

19965348 has 72 divisors (see below), whose sum is σ = 55867448. Its totient is φ = 5971968.

The previous prime is 19965347. The next prime is 19965349. The reversal of 19965348 is 84356991.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (19965347) and next prime (19965349).

It can be written as a sum of positive squares in 4 ways, for example, as 5992704 + 13972644 = 2448^2 + 3738^2 .

It is a super-2 number, since 2×199653482 = 797230241522208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (19965347) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16740 + ... + 17892.

Almost surely, 219965348 is an apocalyptic number.

19965348 is a gapful number since it is divisible by the number (18) 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 19965348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27933724).

19965348 is an abundant number, since it is smaller than the sum of its proper divisors (35902100).

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

19965348 is a wasteful number, since it uses less digits than its factorization.

19965348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1213 (or 1208 counting only the distinct ones).

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

The square root of 19965348 is about 4468.2600640518. The cubic root of 19965348 is about 271.2849043689.

The spelling of 19965348 in words is "nineteen million, nine hundred sixty-five thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 37 39 52 74 78 111 117 148 156 222 234 333 444 468 481 666 962 1153 1332 1443 1924 2306 2886 3459 4329 4612 5772 6918 8658 10377 13836 14989 17316 20754 29978 41508 42661 44967 59956 85322 89934 127983 134901 170644 179868 255966 269802 383949 511932 539604 554593 767898 1109186 1535796 1663779 2218372 3327558 4991337 6655116 9982674 19965348