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27431140 = 22511671861
BaseRepresentation
bin110100010100…
…1000011100100
31220121122110011
41220221003210
524010244030
62415540004
7452106112
oct150510344
956548404
1027431140
1114536470
12922a604
1358b5959
143900ab2
15261cb2a
hex1a290e4

27431140 has 48 divisors (see below), whose sum is σ = 63814464. Its totient is φ = 9820800.

The previous prime is 27431123. The next prime is 27431141. The reversal of 27431140 is 4113472.

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

It is not an unprimeable number, because it can be changed into a prime (27431141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13810 + ... + 15670.

It is an arithmetic number, because the mean of its divisors is an integer number (1329468).

Almost surely, 227431140 is an apocalyptic number.

27431140 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 27431140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31907232).

27431140 is an abundant number, since it is smaller than the sum of its proper divisors (36383324).

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

27431140 is a wasteful number, since it uses less digits than its factorization.

27431140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1948 (or 1946 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 27431140 is about 5237.4745822772. The cubic root of 27431140 is about 301.5883900293.

It can be divided in two parts, 2743 and 1140, that added together give a palindrome (3883).

The spelling of 27431140 in words is "twenty-seven million, four hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 67 110 134 220 268 335 670 737 1340 1474 1861 2948 3685 3722 7370 7444 9305 14740 18610 20471 37220 40942 81884 102355 124687 204710 249374 409420 498748 623435 1246870 1371557 2493740 2743114 5486228 6857785 13715570 27431140