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2414020 = 225743401
BaseRepresentation
bin1001001101010111000100
311112122102011
421031113010
51104222040
6123424004
726342650
oct11152704
94478364
102414020
1113a9764
12985004
13666a1b
1446ba60
1532a3ea
hex24d5c4

2414020 has 48 divisors (see below), whose sum is σ = 5943168. Its totient is φ = 806400.

The previous prime is 2413993. The next prime is 2414021. The reversal of 2414020 is 204142.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2414021) 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, 5820 + ... + 6220.

It is an arithmetic number, because the mean of its divisors is an integer number (123816).

22414020 is an apocalyptic number.

2414020 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 2414020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2971584).

2414020 is an abundant number, since it is smaller than the sum of its proper divisors (3529148).

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

2414020 is a wasteful number, since it uses less digits than its factorization.

2414020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 2414020 is about 1553.7116849660. The cubic root of 2414020 is about 134.1467909466.

Adding to 2414020 its reverse (204142), we get a palindrome (2618162).

The spelling of 2414020 in words is "two million, four hundred fourteen thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 70 86 140 172 215 301 401 430 602 802 860 1204 1505 1604 2005 2807 3010 4010 5614 6020 8020 11228 14035 17243 28070 34486 56140 68972 86215 120701 172430 241402 344860 482804 603505 1207010 2414020