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23641420 = 22511412621
BaseRepresentation
bin101101000101…
…1110101001100
31122111002221011
41122023311030
522023011140
62202415004
7404643265
oct132136514
948432834
1023641420
1112388170
127b01464
134b89a0a
1431d596c
15211ecea
hex168bd4c

23641420 has 48 divisors (see below), whose sum is σ = 55502496. Its totient is φ = 8384000.

The previous prime is 23641403. The next prime is 23641433. The reversal of 23641420 is 2414632.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 23641391 and 23641400.

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, 7710 + ... + 10330.

It is an arithmetic number, because the mean of its divisors is an integer number (1156302).

Almost surely, 223641420 is an apocalyptic number.

23641420 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 23641420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27751248).

23641420 is an abundant number, since it is smaller than the sum of its proper divisors (31861076).

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

23641420 is a wasteful number, since it uses less digits than its factorization.

23641420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2682 (or 2680 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 23641420 is about 4862.2443377519. The cubic root of 23641420 is about 287.0061389097.

The spelling of 23641420 in words is "twenty-three million, six hundred forty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 110 164 205 220 410 451 820 902 1804 2255 2621 4510 5242 9020 10484 13105 26210 28831 52420 57662 107461 115324 144155 214922 288310 429844 537305 576620 1074610 1182071 2149220 2364142 4728284 5910355 11820710 23641420