Base | Representation |
---|---|
bin | 11001011101011… |
… | …110011101110000 |
3 | 1002202202211201222 |
4 | 121131132131300 |
5 | 1333323013420 |
6 | 110215244212 |
7 | 13404530510 |
oct | 3135363560 |
9 | 1082684658 |
10 | 427157360 |
11 | 1aa134713 |
12 | bb079668 |
13 | 6a65c746 |
14 | 40a33840 |
15 | 2777a225 |
hex | 1975e770 |
427157360 has 80 divisors (see below), whose sum is σ = 1139111616. Its totient is φ = 145926144.
The previous prime is 427157329. The next prime is 427157389. The reversal of 427157360 is 63751724.
It is a tau number, because it is divible by the number of its divisors (80).
It is a Harshad number since it is a multiple of its sum of digits (35).
It is a self number, because there is not a number n which added to its sum of digits gives 427157360.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174062 + ... + 176498.
Almost surely, 2427157360 is an apocalyptic number.
427157360 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 427157360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569555808).
427157360 is an abundant number, since it is smaller than the sum of its proper divisors (711954256).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
427157360 is a wasteful number, since it uses less digits than its factorization.
427157360 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2770 (or 2764 counting only the distinct ones).
The product of its (nonzero) digits is 35280, while the sum is 35.
The square root of 427157360 is about 20667.7855611093. The cubic root of 427157360 is about 753.1173126055.
The spelling of 427157360 in words is "four hundred twenty-seven million, one hundred fifty-seven thousand, three hundred sixty".
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