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4140420 = 2235151457
BaseRepresentation
bin1111110010110110000100
321210100120220
433302312010
52024443140
6224424340
750123124
oct17626604
97710526
104140420
112378839
1214780b0
13b1c76b
1479ac84
1556bbd0
hex3f2d84

4140420 has 48 divisors (see below), whose sum is σ = 11695488. Its totient is φ = 1094400.

The previous prime is 4140419. The next prime is 4140421. The reversal of 4140420 is 240414.

It is an interprime number because it is at equal distance from previous prime (4140419) and next prime (4140421).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 4140420.

It is not an unprimeable number, because it can be changed into a prime (4140421) 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, 8832 + ... + 9288.

It is an arithmetic number, because the mean of its divisors is an integer number (243656).

Almost surely, 24140420 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 4140420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5847744).

4140420 is an abundant number, since it is smaller than the sum of its proper divisors (7555068).

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

4140420 is a wasteful number, since it uses less digits than its factorization.

4140420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 4140420 is about 2034.8022016894. The cubic root of 4140420 is about 160.5763071126.

Adding to 4140420 its reverse (240414), we get a palindrome (4380834).

It can be divided in two parts, 4140 and 420, that added together give a triangular number (4560 = T95).

The spelling of 4140420 in words is "four million, one hundred forty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 151 302 453 457 604 755 906 914 1371 1510 1812 1828 2265 2285 2742 3020 4530 4570 5484 6855 9060 9140 13710 27420 69007 138014 207021 276028 345035 414042 690070 828084 1035105 1380140 2070210 4140420