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13376440 = 23571143101
BaseRepresentation
bin110011000001…
…101110111000
3221011121000201
4303001232320
511411021230
61154411544
7221461240
oct63015670
927147021
1013376440
117606a10
124590bb4
132a0466c
141ac2b20
1512935ca
hexcc1bb8

13376440 has 128 divisors (see below), whose sum is σ = 38776320. Its totient is φ = 4032000.

The previous prime is 13376431. The next prime is 13376477. The reversal of 13376440 is 4467331.

13376440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 13376399 and 13376408.

It is a congruent number.

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, 132390 + ... + 132490.

It is an arithmetic number, because the mean of its divisors is an integer number (302940).

Almost surely, 213376440 is an apocalyptic number.

13376440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13376440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19388160).

13376440 is an abundant number, since it is smaller than the sum of its proper divisors (25399880).

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

13376440 is a wasteful number, since it uses less digits than its factorization.

13376440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The square root of 13376440 is about 3657.3815770302. The cubic root of 13376440 is about 237.3814884261.

It can be divided in two parts, 1337 and 6440, that added together give a palindrome (7777).

The spelling of 13376440 in words is "thirteen million, three hundred seventy-six thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 43 44 55 56 70 77 86 88 101 110 140 154 172 202 215 220 280 301 308 344 385 404 430 440 473 505 602 616 707 770 808 860 946 1010 1111 1204 1414 1505 1540 1720 1892 2020 2222 2365 2408 2828 3010 3080 3311 3535 3784 4040 4343 4444 4730 5555 5656 6020 6622 7070 7777 8686 8888 9460 11110 12040 13244 14140 15554 16555 17372 18920 21715 22220 26488 28280 30401 31108 33110 34744 38885 43430 44440 47773 60802 62216 66220 77770 86860 95546 121604 132440 152005 155540 173720 191092 238865 243208 304010 311080 334411 382184 477730 608020 668822 955460 1216040 1337644 1672055 1910920 2675288 3344110 6688220 13376440