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13779084 = 22311472221
BaseRepresentation
bin110100100100…
…000010001100
3221221001100110
4310210002030
512011412314
61211200020
7225056154
oct64440214
927831313
1013779084
117861480
124746010
132b15a07
141b89764
151322a59
hexd2408c

13779084 has 48 divisors (see below), whose sum is σ = 35836416. Its totient is φ = 4084800.

The previous prime is 13779071. The next prime is 13779091. The reversal of 13779084 is 48097731.

13779084 = T285 + T286 + ... + T472.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5094 + ... + 7314.

It is an arithmetic number, because the mean of its divisors is an integer number (746592).

Almost surely, 213779084 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 13779084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17918208).

13779084 is an abundant number, since it is smaller than the sum of its proper divisors (22057332).

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

13779084 is a wasteful number, since it uses less digits than its factorization.

13779084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2286 (or 2284 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 13779084 is about 3712.0188577107. The cubic root of 13779084 is about 239.7397874190.

The spelling of 13779084 in words is "thirteen million, seven hundred seventy-nine thousand, eighty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 47 66 94 132 141 188 282 517 564 1034 1551 2068 2221 3102 4442 6204 6663 8884 13326 24431 26652 48862 73293 97724 104387 146586 208774 293172 313161 417548 626322 1148257 1252644 2296514 3444771 4593028 6889542 13779084