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13378035 = 351189911
BaseRepresentation
bin110011000010…
…000111110011
3221011200012210
4303002013303
511411044120
61154423203
7221466006
oct63020763
927150183
1013378035
117608130
124591b03
132a052c8
141ac353d
151293ce0
hexcc21f3

13378035 has 32 divisors (see below), whose sum is σ = 23639040. Its totient is φ = 6406400.

The previous prime is 13378009. The next prime is 13378063. The reversal of 13378035 is 53087331.

13378035 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13378035 - 25 = 13378003 is a prime.

It is a super-2 number, since 2×133780352 = 357943640922450, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13377993 and 13378011.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14230 + ... + 15140.

It is an arithmetic number, because the mean of its divisors is an integer number (738720).

Almost surely, 213378035 is an apocalyptic number.

13378035 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13378035 is a deficient number, since it is larger than the sum of its proper divisors (10261005).

13378035 is a wasteful number, since it uses less digits than its factorization.

13378035 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1019.

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 13378035 is about 3657.5996227034. The cubic root of 13378035 is about 237.3909231344.

The spelling of 13378035 in words is "thirteen million, three hundred seventy-eight thousand, thirty-five".

Divisors: 1 3 5 11 15 33 55 89 165 267 445 911 979 1335 2733 2937 4555 4895 10021 13665 14685 30063 50105 81079 150315 243237 405395 891869 1216185 2675607 4459345 13378035