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23053356 = 22331131889
BaseRepresentation
bin101011111110…
…0010000101100
31121101020021000
41113330100230
521400201411
62142040300
7366643644
oct127742054
947336230
1023053356
1112016367
127879090
134a12151
1430c1524
152055956
hex15fc42c

23053356 has 48 divisors (see below), whose sum is σ = 60328800. Its totient is φ = 7612416.

The previous prime is 23053339. The next prime is 23053361. The reversal of 23053356 is 65335032.

23053356 is a `hidden beast` number, since 2 + 305 + 3 + 356 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11260 + ... + 13148.

It is an arithmetic number, because the mean of its divisors is an integer number (1256850).

Almost surely, 223053356 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 23053356, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30164400).

23053356 is an abundant number, since it is smaller than the sum of its proper divisors (37275444).

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

23053356 is a wasteful number, since it uses less digits than its factorization.

23053356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2015 (or 2007 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 27.

The square root of 23053356 is about 4801.3910484359. The cubic root of 23053356 is about 284.6064373805.

Adding to 23053356 its reverse (65335032), we get a palindrome (88388388).

It can be divided in two parts, 23053 and 356, that added together give a square (23409 = 1532).

The spelling of 23053356 in words is "twenty-three million, fifty-three thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 113 226 339 452 678 1017 1356 1889 2034 3051 3778 4068 5667 6102 7556 11334 12204 17001 22668 34002 51003 68004 102006 204012 213457 426914 640371 853828 1280742 1921113 2561484 3842226 5763339 7684452 11526678 23053356