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2412420 = 2235311297
BaseRepresentation
bin1001001100111110000100
311112120012220
421030332010
51104144140
6123412340
726335203
oct11147604
94476186
102412420
1113a853a
129840b0
1366608a
1446b23a
15329bd0
hex24cf84

2412420 has 48 divisors (see below), whose sum is σ = 6978048. Its totient is φ = 622080.

The previous prime is 2412409. The next prime is 2412439. The reversal of 2412420 is 242142.

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 2412420.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1212 + ... + 2508.

It is an arithmetic number, because the mean of its divisors is an integer number (145376).

22412420 is an apocalyptic number.

2412420 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 2412420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3489024).

2412420 is an abundant number, since it is smaller than the sum of its proper divisors (4565628).

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

2412420 is a wasteful number, since it uses less digits than its factorization.

2412420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1340 (or 1338 counting only the distinct ones).

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

The square root of 2412420 is about 1553.1967035762. The cubic root of 2412420 is about 134.1171471294.

Adding to 2412420 its reverse (242142), we get a palindrome (2654562).

The spelling of 2412420 in words is "two million, four hundred twelve thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 310 372 465 620 930 1297 1860 2594 3891 5188 6485 7782 12970 15564 19455 25940 38910 40207 77820 80414 120621 160828 201035 241242 402070 482484 603105 804140 1206210 2412420