Search a number
-
+
2420704 = 251113232
BaseRepresentation
bin1001001110111111100000
311112222120201
421032333200
51104430304
6123514544
726401306
oct11167740
94488521
102420704
111403790
12988a54
13669a90
14470276
1532c3a4
hex24efe0

2420704 has 72 divisors (see below), whose sum is σ = 5852952. Its totient is φ = 971520.

The previous prime is 2420701. The next prime is 2420707. The reversal of 2420704 is 4070242.

It is an interprime number because it is at equal distance from previous prime (2420701) and next prime (2420707).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2420701) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 105237 + ... + 105259.

It is an arithmetic number, because the mean of its divisors is an integer number (81291).

22420704 is an apocalyptic number.

2420704 is the 832-nd nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2420704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2926476).

2420704 is an abundant number, since it is smaller than the sum of its proper divisors (3432248).

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

2420704 is a wasteful number, since it uses less digits than its factorization.

2420704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 19.

The square root of 2420704 is about 1555.8611763265. The cubic root of 2420704 is about 134.2704865356.

Adding to 2420704 its reverse (4070242), we get a palindrome (6490946).

The spelling of 2420704 in words is "two million, four hundred twenty thousand, seven hundred four".

Divisors: 1 2 4 8 11 13 16 22 23 26 32 44 46 52 88 92 104 143 176 184 208 253 286 299 352 368 416 506 529 572 598 736 1012 1058 1144 1196 2024 2116 2288 2392 3289 4048 4232 4576 4784 5819 6578 6877 8096 8464 9568 11638 13156 13754 16928 23276 26312 27508 46552 52624 55016 75647 93104 105248 110032 151294 186208 220064 302588 605176 1210352 2420704