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11139464 = 2372157181
BaseRepresentation
bin101010011111…
…100110001000
3202221221110202
4222133212020
510322430324
61034431332
7163453400
oct52374610
922857422
1011139464
116319276
123892548
1324003cb
14169d800
15ea08ae
hexa9f988

11139464 has 48 divisors (see below), whose sum is σ = 24586380. Its totient is φ = 4717440.

The previous prime is 11139463. The next prime is 11139493. The reversal of 11139464 is 46493111.

11139464 is digitally balanced in base 2 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 9060100 + 2079364 = 3010^2 + 1442^2 .

It is a super-3 number, since 3×111394643 (a number of 22 digits) contains 333 as substring.

11139464 is strictly pandigital in base 8.

It is not an unprimeable number, because it can be changed into a prime (11139463) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61454 + ... + 61634.

Almost surely, 211139464 is an apocalyptic number.

11139464 is a gapful number since it is divisible by the number (14) 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 11139464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12293190).

11139464 is an abundant number, since it is smaller than the sum of its proper divisors (13446916).

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

11139464 is a wasteful number, since it uses less digits than its factorization.

11139464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 347 counting only the distinct ones).

The product of its digits is 2592, while the sum is 29.

The square root of 11139464 is about 3337.5835570065. The cubic root of 11139464 is about 223.3339590587. Note that the first 3 decimals are identical.

The spelling of 11139464 in words is "eleven million, one hundred thirty-nine thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 49 56 98 157 181 196 314 362 392 628 724 1099 1256 1267 1448 2198 2534 4396 5068 7693 8792 8869 10136 15386 17738 28417 30772 35476 56834 61544 70952 113668 198919 227336 397838 795676 1392433 1591352 2784866 5569732 11139464