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23633420 = 2252383619
BaseRepresentation
bin101101000100…
…1111000001100
31122110200221212
41122021320030
522022232140
62202313552
7404611046
oct132117014
948420855
1023633420
1112382158
127ab88b8
134b86195
1431d2a96
15211c765
hex1689e0c

23633420 has 48 divisors (see below), whose sum is σ = 52496640. Its totient is φ = 8918976.

The previous prime is 23633399. The next prime is 23633431. The reversal of 23633420 is 2433632.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37871 + ... + 38489.

It is an arithmetic number, because the mean of its divisors is an integer number (1093680).

Almost surely, 223633420 is an apocalyptic number.

23633420 is a gapful number since it is divisible by the number (20) 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 23633420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26248320).

23633420 is an abundant number, since it is smaller than the sum of its proper divisors (28863220).

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

23633420 is a wasteful number, since it uses less digits than its factorization.

23633420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 734 (or 732 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 23.

The square root of 23633420 is about 4861.4216027825. The cubic root of 23633420 is about 286.9737620030.

The spelling of 23633420 in words is "twenty-three million, six hundred thirty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 83 92 115 166 230 332 415 460 619 830 1238 1660 1909 2476 3095 3818 6190 7636 9545 12380 14237 19090 28474 38180 51377 56948 71185 102754 142370 205508 256885 284740 513770 1027540 1181671 2363342 4726684 5908355 11816710 23633420