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2423680 = 2757541
BaseRepresentation
bin1001001111101110000000
311120010122221
421033232000
51110024210
6123540424
726413060
oct11175600
94503587
102423680
111405a46
1298a714
1366b23c
144713a0
1532d1da
hex24fb80

2423680 has 64 divisors (see below), whose sum is σ = 6634080. Its totient is φ = 829440.

The previous prime is 2423669. The next prime is 2423689. The reversal of 2423680 is 863242.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2423689) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4210 + ... + 4750.

22423680 is an apocalyptic number.

2423680 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 2423680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3317040).

2423680 is an abundant number, since it is smaller than the sum of its proper divisors (4210400).

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

2423680 is an equidigital number, since it uses as much as digits as its factorization.

2423680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 2423680 is about 1556.8172660913. The cubic root of 2423680 is about 134.3254877981.

The spelling of 2423680 in words is "two million, four hundred twenty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 541 560 640 896 1082 1120 2164 2240 2705 3787 4328 4480 5410 7574 8656 10820 15148 17312 18935 21640 30296 34624 37870 43280 60592 69248 75740 86560 121184 151480 173120 242368 302960 346240 484736 605920 1211840 2423680