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2420688 = 243293747
BaseRepresentation
bin1001001110111111010000
311112222120010
421032333100
51104430223
6123514520
726401254
oct11167720
94488503
102420688
111403776
12988a40
13669a7a
14470264
1532c393
hex24efd0

2420688 has 80 divisors (see below), whose sum is σ = 6785280. Its totient is φ = 741888.

The previous prime is 2420687. The next prime is 2420689. The reversal of 2420688 is 8860242.

It is a happy number.

2420688 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2420687) and next prime (2420689).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2420687) 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, 51481 + ... + 51527.

It is an arithmetic number, because the mean of its divisors is an integer number (84816).

22420688 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 2420688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3392640).

2420688 is an abundant number, since it is smaller than the sum of its proper divisors (4364592).

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

2420688 is a wasteful number, since it uses less digits than its factorization.

2420688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 2420688 is about 1555.8560344711. The cubic root of 2420688 is about 134.2701907081.

The spelling of 2420688 in words is "two million, four hundred twenty thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 37 47 48 58 74 87 94 111 116 141 148 174 188 222 232 282 296 348 376 444 464 564 592 696 752 888 1073 1128 1363 1392 1739 1776 2146 2256 2726 3219 3478 4089 4292 5217 5452 6438 6956 8178 8584 10434 10904 12876 13912 16356 17168 20868 21808 25752 27824 32712 41736 50431 51504 65424 83472 100862 151293 201724 302586 403448 605172 806896 1210344 2420688