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11393382 = 23721113271
BaseRepresentation
bin101011011101…
…100101100110
3210102211210010
4223131211212
510404042012
61044111050
7165561600
oct53354546
923384703
1011393382
116482020
123995486
13248bb60
141728170
151000c3c
hexadd966

11393382 has 96 divisors (see below), whose sum is σ = 31256064. Its totient is φ = 2721600.

The previous prime is 11393381. The next prime is 11393387. The reversal of 11393382 is 28339311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11393381) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41907 + ... + 42177.

It is an arithmetic number, because the mean of its divisors is an integer number (325584).

Almost surely, 211393382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11393382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15628032).

11393382 is an abundant number, since it is smaller than the sum of its proper divisors (19862682).

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

11393382 is a wasteful number, since it uses less digits than its factorization.

11393382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 307 counting only the distinct ones).

The product of its digits is 3888, while the sum is 30.

The square root of 11393382 is about 3375.4084197323. The cubic root of 11393382 is about 225.0181516220.

It can be divided in two parts, 11 and 393382, that added together give a palindrome (393393).

The spelling of 11393382 in words is "eleven million, three hundred ninety-three thousand, three hundred eighty-two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 49 66 77 78 91 98 143 147 154 182 231 271 273 286 294 429 462 539 542 546 637 813 858 1001 1078 1274 1617 1626 1897 1911 2002 2981 3003 3234 3523 3794 3822 5691 5962 6006 7007 7046 8943 10569 11382 13279 14014 17886 20867 21021 21138 24661 26558 38753 39837 41734 42042 49322 62601 73983 77506 79674 116259 125202 146069 147966 172627 232518 271271 292138 345254 438207 517881 542542 813813 876414 1035762 1627626 1898897 3797794 5696691 11393382