Search a number
-
+
13926006 = 234314759
BaseRepresentation
bin110101000111…
…111001110110
3222012111220000
4311013321312
512031113011
61214252130
7226240413
oct65077166
928174800
1013926006
1179518a6
1247b7046
132b67853
141bc710a
151351356
hexd47e76

13926006 has 80 divisors (see below), whose sum is σ = 33454080. Its totient is φ = 4322160.

The previous prime is 13925939. The next prime is 13926013. The reversal of 13926006 is 60062931.

It is a happy number.

It is a super-2 number, since 2×139260062 = 387867286224072, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 236005 + ... + 236063.

It is an arithmetic number, because the mean of its divisors is an integer number (418176).

Almost surely, 213926006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13926006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16727040).

13926006 is an abundant number, since it is smaller than the sum of its proper divisors (19528074).

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

13926006 is a wasteful number, since it uses less digits than its factorization.

13926006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 142 counting only the distinct ones).

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

The square root of 13926006 is about 3731.7564229194. The cubic root of 13926006 is about 240.5888664695.

Adding to 13926006 its reverse (60062931), we get a palindrome (73988937).

The spelling of 13926006 in words is "thirteen million, nine hundred twenty-six thousand, six".

Divisors: 1 2 3 6 9 18 27 31 47 54 59 62 81 93 94 118 141 162 177 186 279 282 354 423 531 558 837 846 1062 1269 1457 1593 1674 1829 2511 2538 2773 2914 3186 3658 3807 4371 4779 5022 5487 5546 7614 8319 8742 9558 10974 13113 16461 16638 24957 26226 32922 39339 49383 49914 74871 78678 85963 98766 118017 148149 149742 171926 224613 236034 257889 296298 449226 515778 773667 1547334 2321001 4642002 6963003 13926006