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2428680 = 233537547
BaseRepresentation
bin1001010000111100001000
311120101112010
421100330020
51110204210
6124015520
726433462
oct11207410
94511463
102428680
111409781
129915a0
136705b7
14473132
1532e920
hex250f08

2428680 has 64 divisors (see below), whose sum is σ = 7496640. Its totient is φ = 628992.

The previous prime is 2428667. The next prime is 2428687. The reversal of 2428680 is 868242.

It is a happy number.

2428680 is nontrivially palindromic in base 7.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2428687) 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, 4167 + ... + 4713.

It is an arithmetic number, because the mean of its divisors is an integer number (117135).

22428680 is an apocalyptic number.

2428680 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 2428680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3748320).

2428680 is an abundant number, since it is smaller than the sum of its proper divisors (5067960).

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

2428680 is a wasteful number, since it uses less digits than its factorization.

2428680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 594 counting only the distinct ones).

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

The square root of 2428680 is about 1558.4222791015. The cubic root of 2428680 is about 134.4177945543.

The spelling of 2428680 in words is "two million, four hundred twenty-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 547 555 740 888 1094 1110 1480 1641 2188 2220 2735 3282 4376 4440 5470 6564 8205 10940 13128 16410 20239 21880 32820 40478 60717 65640 80956 101195 121434 161912 202390 242868 303585 404780 485736 607170 809560 1214340 2428680