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11308842 = 2331797127
BaseRepresentation
bin101011001000…
…111100101010
3210021112211000
4223020330222
510343340332
61042215430
7165060246
oct53107452
923245730
1011308842
116424556
123954576
13245c52c
141705426
15ed5b7c
hexac8f2a

11308842 has 64 divisors (see below), whose sum is σ = 27095040. Its totient is φ = 3483648.

The previous prime is 11308813. The next prime is 11308849. The reversal of 11308842 is 24880311.

11308842 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11308849) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88983 + ... + 89109.

It is an arithmetic number, because the mean of its divisors is an integer number (423360).

Almost surely, 211308842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11308842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13547520).

11308842 is an abundant number, since it is smaller than the sum of its proper divisors (15786198).

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

11308842 is a wasteful number, since it uses less digits than its factorization.

11308842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 11308842 is about 3362.8621738037. The cubic root of 11308842 is about 224.4602171890.

The spelling of 11308842 in words is "eleven million, three hundred eight thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 97 102 127 153 194 254 291 306 381 459 582 762 873 918 1143 1649 1746 2159 2286 2619 3298 3429 4318 4947 5238 6477 6858 9894 12319 12954 14841 19431 24638 29682 36957 38862 44523 58293 73914 89046 110871 116586 209423 221742 332613 418846 628269 665226 1256538 1884807 3769614 5654421 11308842