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2466420 = 22351137101
BaseRepresentation
bin1001011010001001110100
311122022021220
421122021310
51112411140
6124510340
726651505
oct11321164
94568256
102466420
111435070
129ab3b0
13684828
14482bac
1533abd0
hex25a274

2466420 has 96 divisors (see below), whose sum is σ = 7814016. Its totient is φ = 576000.

The previous prime is 2466407. The next prime is 2466427. The reversal of 2466420 is 246642.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2466427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24370 + ... + 24470.

It is an arithmetic number, because the mean of its divisors is an integer number (81396).

22466420 is an apocalyptic number.

2466420 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 2466420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3907008).

2466420 is an abundant number, since it is smaller than the sum of its proper divisors (5347596).

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

2466420 is a wasteful number, since it uses less digits than its factorization.

2466420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2466420 is about 1570.4840018287. The cubic root of 2466420 is about 135.1104719892.

It can be divided in two parts, 246 and 6420, that added together give a palindrome (6666).

The spelling of 2466420 in words is "two million, four hundred sixty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 37 44 55 60 66 74 101 110 111 132 148 165 185 202 220 222 303 330 370 404 407 444 505 555 606 660 740 814 1010 1110 1111 1212 1221 1515 1628 2020 2035 2220 2222 2442 3030 3333 3737 4070 4444 4884 5555 6060 6105 6666 7474 8140 11110 11211 12210 13332 14948 16665 18685 22220 22422 24420 33330 37370 41107 44844 56055 66660 74740 82214 112110 123321 164428 205535 224220 246642 411070 493284 616605 822140 1233210 2466420