Base | Representation |
---|---|
bin | 11001000010001… |
… | …110010110000000 |
3 | 1002021022220010100 |
4 | 121002032112000 |
5 | 1330010412230 |
6 | 105402202400 |
7 | 13260024660 |
oct | 3102162600 |
9 | 1067286110 |
10 | 420013440 |
11 | 1a60a5350 |
12 | b87b3400 |
13 | 6902ab82 |
14 | 3dad41a0 |
15 | 26d18660 |
hex | 1908e580 |
420013440 has 384 divisors, whose sum is σ = 1810149120. Its totient is φ = 87183360.
The previous prime is 420013439. The next prime is 420013453. The reversal of 420013440 is 44310024.
It is a tau number, because it is divible by the number of its divisors (384).
It is a super-2 number, since 2×4200134402 = 352822579561267200, which contains 22 as substring.
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 47 ways as a sum of consecutive naturals, for example, 443047 + ... + 443993.
It is an arithmetic number, because the mean of its divisors is an integer number (4713930).
Almost surely, 2420013440 is an apocalyptic number.
420013440 is a gapful number since it is divisible by the number (40) 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 420013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905074560).
420013440 is an abundant number, since it is smaller than the sum of its proper divisors (1390135680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
420013440 is a wasteful number, since it uses less digits than its factorization.
420013440 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 990 (or 975 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 18.
The square root of 420013440 is about 20494.2294317205. The cubic root of 420013440 is about 748.8952267672.
Adding to 420013440 its reverse (44310024), we get a palindrome (464323464).
The spelling of 420013440 in words is "four hundred twenty million, thirteen thousand, four hundred forty".
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