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13377078 = 23211135197
BaseRepresentation
bin110011000001…
…111000110110
3221011121220100
4303001320312
511411031303
61154414530
7221463141
oct63017066
927147810
1013377078
117607440
124591446
132a04a40
141ac3058
1512938a3
hexcc1e36

13377078 has 48 divisors (see below), whose sum is σ = 34057296. Its totient is φ = 3741120.

The previous prime is 13377073. The next prime is 13377097. The reversal of 13377078 is 87077331.

It is a happy number.

13377078 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13377073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25 + ... + 5172.

It is an arithmetic number, because the mean of its divisors is an integer number (709527).

Almost surely, 213377078 is an apocalyptic number.

13377078 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13377078, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17028648).

13377078 is an abundant number, since it is smaller than the sum of its proper divisors (20680218).

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

13377078 is a wasteful number, since it uses less digits than its factorization.

13377078 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5229 (or 5226 counting only the distinct ones).

The product of its (nonzero) digits is 24696, while the sum is 36.

The square root of 13377078 is about 3657.4687968594. The cubic root of 13377078 is about 237.3852623994.

The spelling of 13377078 in words is "thirteen million, three hundred seventy-seven thousand, seventy-eight".

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 117 143 198 234 286 429 858 1287 2574 5197 10394 15591 31182 46773 57167 67561 93546 114334 135122 171501 202683 343002 405366 514503 608049 743171 1029006 1216098 1486342 2229513 4459026 6688539 13377078