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15106014 = 2347211173
BaseRepresentation
bin111001100111…
…111111011110
31001102110120000
4321213333132
512331343024
61255435130
7242253600
oct71477736
931373500
1015106014
118588410
125085aa6
13318b991
142013170
1514d5cc9
hexe67fde

15106014 has 120 divisors (see below), whose sum is σ = 43202808. Its totient is φ = 3900960.

The previous prime is 15105997. The next prime is 15106019. The reversal of 15106014 is 41060151.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15106019) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 87232 + ... + 87404.

Almost surely, 215106014 is an apocalyptic number.

15106014 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 15106014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21601404).

15106014 is an abundant number, since it is smaller than the sum of its proper divisors (28096794).

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

15106014 is a wasteful number, since it uses less digits than its factorization.

15106014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 15106014 is about 3886.6455974272. The cubic root of 15106014 is about 247.2008506899.

Adding to 15106014 its reverse (41060151), we get a palindrome (56166165).

It can be divided in two parts, 1 and 5106014, that added together give a palindrome (5106015).

The spelling of 15106014 in words is "fifteen million, one hundred six thousand, fourteen".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 49 54 63 66 77 81 98 99 126 147 154 162 173 189 198 231 294 297 346 378 441 462 519 539 567 594 693 882 891 1038 1078 1134 1211 1323 1386 1557 1617 1782 1903 2079 2422 2646 3114 3234 3633 3806 3969 4158 4671 4851 5709 6237 7266 7938 8477 9342 9702 10899 11418 12474 13321 14013 14553 16954 17127 21798 25431 26642 28026 29106 32697 34254 39963 43659 50862 51381 65394 76293 79926 87318 93247 98091 102762 119889 152586 154143 186494 196182 228879 239778 279741 308286 359667 457758 559482 686637 719334 839223 1079001 1373274 1678446 2158002 2517669 5035338 7553007 15106014