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23400420 = 2235675821
BaseRepresentation
bin101100101000…
…0111111100100
31122000212100020
41121100333210
521442303140
62153315140
7402620541
oct131207744
948025306
1023400420
111223309a
127a05ab0
134b04104
143171bc8
1520c36d0
hex1650fe4

23400420 has 48 divisors (see below), whose sum is σ = 66510528. Its totient is φ = 6145920.

The previous prime is 23400413. The next prime is 23400427. The reversal of 23400420 is 2400432.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (23400413) and next prime (23400427).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 23400420.

It is not an unprimeable number, because it can be changed into a prime (23400427) by changing a digit.

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, 1110 + ... + 6930.

It is an arithmetic number, because the mean of its divisors is an integer number (1385636).

Almost surely, 223400420 is an apocalyptic number.

23400420 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 23400420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33255264).

23400420 is an abundant number, since it is smaller than the sum of its proper divisors (43110108).

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

23400420 is a wasteful number, since it uses less digits than its factorization.

23400420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5900 (or 5898 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 23400420 is about 4837.3980609414. The cubic root of 23400420 is about 286.0275618539.

Adding to 23400420 its reverse (2400432), we get a palindrome (25800852).

The spelling of 23400420 in words is "twenty-three million, four hundred thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 134 201 268 335 402 670 804 1005 1340 2010 4020 5821 11642 17463 23284 29105 34926 58210 69852 87315 116420 174630 349260 390007 780014 1170021 1560028 1950035 2340042 3900070 4680084 5850105 7800140 11700210 23400420