Base | Representation |
---|---|
bin | 11001000010001… |
… | …011001001110100 |
3 | 1002021022020012100 |
4 | 121002023021310 |
5 | 1330010002442 |
6 | 105402022100 |
7 | 13256641611 |
oct | 3102131164 |
9 | 1067266170 |
10 | 420000372 |
11 | 1a6096550 |
12 | b87a7930 |
13 | 69024c3c |
14 | 3dacd508 |
15 | 26d1484c |
hex | 1908b274 |
420000372 has 72 divisors (see below), whose sum is σ = 1177237152. Its totient is φ = 125179200.
The previous prime is 420000349. The next prime is 420000389. The reversal of 420000372 is 273000024.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15463 + ... + 32849.
It is an arithmetic number, because the mean of its divisors is an integer number (16350516).
Almost surely, 2420000372 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 420000372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588618576).
420000372 is an abundant number, since it is smaller than the sum of its proper divisors (757236780).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
420000372 is a wasteful number, since it uses less digits than its factorization.
420000372 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 17469 (or 17464 counting only the distinct ones).
The product of its (nonzero) digits is 336, while the sum is 18.
The square root of 420000372 is about 20493.9106077879. The cubic root of 420000372 is about 748.8874598218.
Adding to 420000372 its reverse (273000024), we get a palindrome (693000396).
The spelling of 420000372 in words is "four hundred twenty million, three hundred seventy-two", and thus it is an aban number.
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