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11357514 = 2327279163
BaseRepresentation
bin101011010100…
…110101001010
3210101000120200
4223110311022
510401420024
61043233030
7165352200
oct53246512
923330520
1011357514
116458083
123978776
13247872c
141719070
15ee52c9
hexad4d4a

11357514 has 72 divisors (see below), whose sum is σ = 29165760. Its totient is φ = 3184272.

The previous prime is 11357509. The next prime is 11357539. The reversal of 11357514 is 41575311.

11357514 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 69597 + ... + 69759.

It is an arithmetic number, because the mean of its divisors is an integer number (405080).

Almost surely, 211357514 is an apocalyptic number.

11357514 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11357514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14582880).

11357514 is an abundant number, since it is smaller than the sum of its proper divisors (17808246).

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

11357514 is a wasteful number, since it uses less digits than its factorization.

11357514 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 254 counting only the distinct ones).

The product of its digits is 2100, while the sum is 27.

The square root of 11357514 is about 3370.0910966916. The cubic root of 11357514 is about 224.7817735969.

It can be divided in two parts, 1135 and 7514, that added together give a square (8649 = 932).

The spelling of 11357514 in words is "eleven million, three hundred fifty-seven thousand, five hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 79 98 126 147 158 163 237 294 326 441 474 489 553 711 882 978 1106 1141 1422 1467 1659 2282 2934 3318 3423 3871 4977 6846 7742 7987 9954 10269 11613 12877 15974 20538 23226 23961 25754 34839 38631 47922 69678 71883 77262 90139 115893 143766 180278 231786 270417 540834 630973 811251 1261946 1622502 1892919 3785838 5678757 11357514