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13478076 = 2234172447
BaseRepresentation
bin110011011010…
…100010111100
3221100202110000
4303122202330
511422244301
61200514300
7222363453
oct63324274
927322400
1013478076
117676307
12461b990
132a3b9c1
141b0bb9a
1512b3786
hexcda8bc

13478076 has 60 divisors (see below), whose sum is σ = 37322208. Its totient is φ = 4226688.

The previous prime is 13478051. The next prime is 13478077. The reversal of 13478076 is 67087431.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 13478076.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13478077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4285 + ... + 6731.

Almost surely, 213478076 is an apocalyptic number.

13478076 is the 1836-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13478076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18661104).

13478076 is an abundant number, since it is smaller than the sum of its proper divisors (23844132).

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

13478076 is a wasteful number, since it uses less digits than its factorization.

13478076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2480 (or 2469 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 13478076 is about 3671.2499233912. The cubic root of 13478076 is about 237.9811909906.

It can be divided in two parts, 134 and 78076, that added together give a triangular number (78210 = T395).

The spelling of 13478076 in words is "thirteen million, four hundred seventy-eight thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 306 324 459 612 918 1377 1836 2447 2754 4894 5508 7341 9788 14682 22023 29364 41599 44046 66069 83198 88092 124797 132138 166396 198207 249594 264276 374391 396414 499188 748782 792828 1123173 1497564 2246346 3369519 4492692 6739038 13478076