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13960026 = 2341737137
BaseRepresentation
bin110101010000…
…001101011010
3222021020120000
4311100031122
512033210101
61215113430
7226441533
oct65201532
928236500
1013960026
117975413
124812876
132b7a192
141bd568a
15135b486
hexd5035a

13960026 has 80 divisors (see below), whose sum is σ = 34264296. Its totient is φ = 4230144.

The previous prime is 13960021. The next prime is 13960027. The reversal of 13960026 is 62006931.

It is a happy number.

13960026 is a `hidden beast` number, since 1 + 39 + 600 + 26 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13950225 + 9801 = 3735^2 + 99^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13960021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 101830 + ... + 101966.

Almost surely, 213960026 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13960026, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17132148).

13960026 is an abundant number, since it is smaller than the sum of its proper divisors (20304270).

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

13960026 is a wasteful number, since it uses less digits than its factorization.

13960026 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 13960026 is about 3736.3118178225. The cubic root of 13960026 is about 240.7846195884.

Adding to 13960026 its reverse (62006931), we get a palindrome (75966957).

The spelling of 13960026 in words is "thirteen million, nine hundred sixty thousand, twenty-six".

Divisors: 1 2 3 6 9 17 18 27 34 37 51 54 74 81 102 111 137 153 162 222 274 306 333 411 459 629 666 822 918 999 1233 1258 1377 1887 1998 2329 2466 2754 2997 3699 3774 4658 5069 5661 5994 6987 7398 10138 11097 11322 13974 15207 16983 20961 22194 30414 33966 41922 45621 50949 62883 86173 91242 101898 125766 136863 172346 188649 258519 273726 377298 410589 517038 775557 821178 1551114 2326671 4653342 6980013 13960026