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13084148 = 22711231847
BaseRepresentation
bin110001111010…
…010111110100
3220121202002002
4301322113310
511322143043
61144234432
7216133130
oct61722764
926552062
1013084148
117427350
12446ba18
1329315cc
141a483c0
151236bb8
hexc7a5f4

13084148 has 48 divisors (see below), whose sum is σ = 29804544. Its totient is φ = 4873440.

The previous prime is 13084147. The next prime is 13084153. The reversal of 13084148 is 84148031.

It is a self number, because there is not a number n which added to its sum of digits gives 13084148.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13084147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6161 + ... + 8007.

It is an arithmetic number, because the mean of its divisors is an integer number (620928).

Almost surely, 213084148 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13084148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14902272).

13084148 is an abundant number, since it is smaller than the sum of its proper divisors (16720396).

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

13084148 is a wasteful number, since it uses less digits than its factorization.

13084148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1892 (or 1890 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 13084148 is about 3617.2016808577. The cubic root of 13084148 is about 235.6397116665.

The spelling of 13084148 in words is "thirteen million, eighty-four thousand, one hundred forty-eight".

Divisors: 1 2 4 7 11 14 22 23 28 44 46 77 92 154 161 253 308 322 506 644 1012 1771 1847 3542 3694 7084 7388 12929 20317 25858 40634 42481 51716 81268 84962 142219 169924 284438 297367 467291 568876 594734 934582 1189468 1869164 3271037 6542074 13084148