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2488680 = 2332531223
BaseRepresentation
bin1001011111100101101000
311200102211100
421133211220
51114114210
6125201400
730103425
oct11374550
94612740
102488680
11144a867
12a00260
136919bc
1448ad4c
153425c0
hex25f968

2488680 has 96 divisors (see below), whose sum is σ = 8386560. Its totient is φ = 639360.

The previous prime is 2488667. The next prime is 2488687. The reversal of 2488680 is 868842.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2488687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11049 + ... + 11271.

It is an arithmetic number, because the mean of its divisors is an integer number (87360).

22488680 is an apocalyptic number.

2488680 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 2488680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4193280).

2488680 is an abundant number, since it is smaller than the sum of its proper divisors (5897880).

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

2488680 is a wasteful number, since it uses less digits than its factorization.

2488680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 2488680 is about 1577.5550703541. Note that the first 3 decimals coincide. The cubic root of 2488680 is about 135.5157228162.

The spelling of 2488680 in words is "two million, four hundred eighty-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 31 36 40 45 60 62 72 90 93 120 124 155 180 186 223 248 279 310 360 372 446 465 558 620 669 744 892 930 1115 1116 1240 1338 1395 1784 1860 2007 2230 2232 2676 2790 3345 3720 4014 4460 5352 5580 6690 6913 8028 8920 10035 11160 13380 13826 16056 20070 20739 26760 27652 34565 40140 41478 55304 62217 69130 80280 82956 103695 124434 138260 165912 207390 248868 276520 311085 414780 497736 622170 829560 1244340 2488680