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12616065 = 3257112331
BaseRepresentation
bin110000001000…
…000110000001
3212201221222200
4300020012001
511212203230
61130223413
7212143350
oct60100601
925657880
1012616065
117137700
124284b69
1327c9537
141965997
151193160
hexc08181

12616065 has 72 divisors (see below), whose sum is σ = 27553344. Its totient is φ = 5227200.

The previous prime is 12616031. The next prime is 12616103. The reversal of 12616065 is 56061621.

It is a happy number.

It is not a de Polignac number, because 12616065 - 213 = 12607873 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 37950 + ... + 38280.

Almost surely, 212616065 is an apocalyptic number.

12616065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12616065 is an abundant number, since it is smaller than the sum of its proper divisors (14937279).

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

12616065 is a wasteful number, since it uses less digits than its factorization.

12616065 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 12616065 is about 3551.9100495367. The cubic root of 12616065 is about 232.7955312318.

Adding to 12616065 its reverse (56061621), we get a palindrome (68677686).

The spelling of 12616065 in words is "twelve million, six hundred sixteen thousand, sixty-five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 55 63 77 99 105 121 165 231 315 331 363 385 495 605 693 847 993 1089 1155 1655 1815 2317 2541 2979 3465 3641 4235 4965 5445 6951 7623 10923 11585 12705 14895 18205 20853 25487 32769 34755 38115 40051 54615 76461 104265 120153 127435 163845 200255 229383 280357 360459 382305 600765 841071 1146915 1401785 1802295 2523213 4205355 12616065