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23476420 = 22511289109
BaseRepresentation
bin101100110001…
…1100011000100
31122011201121001
41121203203010
522002221140
62155103044
7403355242
oct131434304
948151531
1023476420
1112285200
127a41a84
134b2c896
143191792
1520dae9a
hex16638c4

23476420 has 72 divisors (see below), whose sum is σ = 55301400. Its totient is φ = 8363520.

The previous prime is 23476417. The next prime is 23476429. The reversal of 23476420 is 2467432.

It can be written as a sum of positive squares in 4 ways, for example, as 1517824 + 21958596 = 1232^2 + 4686^2 .

It is a super-2 number, since 2×234764202 = 1102284592032800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23476429) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 215326 + ... + 215434.

It is an arithmetic number, because the mean of its divisors is an integer number (768075).

Almost surely, 223476420 is an apocalyptic number.

23476420 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 23476420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27650700).

23476420 is an abundant number, since it is smaller than the sum of its proper divisors (31824980).

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

23476420 is a wasteful number, since it uses less digits than its factorization.

23476420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

The square root of 23476420 is about 4845.2471557187. The cubic root of 23476420 is about 286.3368811364.

The spelling of 23476420 in words is "twenty-three million, four hundred seventy-six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 89 109 110 121 178 218 220 242 356 436 445 484 545 605 890 979 1090 1199 1210 1780 1958 2180 2398 2420 3916 4796 4895 5995 9701 9790 10769 11990 13189 19402 19580 21538 23980 26378 38804 43076 48505 52756 53845 65945 97010 106711 107690 131890 194020 213422 215380 263780 426844 533555 1067110 1173821 2134220 2347642 4695284 5869105 11738210 23476420