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2406720 = 263523109
BaseRepresentation
bin1001001011100101000000
311112021101210
421023211000
51104003340
6123330120
726312451
oct11134500
94467353
102406720
1113a4228
12980940
136635c4
14469128
15328180
hex24b940

2406720 has 112 divisors (see below), whose sum is σ = 8046720. Its totient is φ = 608256.

The previous prime is 2406709. The next prime is 2406721. The reversal of 2406720 is 276042.

It is a happy number.

It is a super-3 number, since 3×24067203 = 41821341131833344000, which contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2406721) 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, 22026 + ... + 22134.

22406720 is an apocalyptic number.

2406720 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 2406720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4023360).

2406720 is an abundant number, since it is smaller than the sum of its proper divisors (5640000).

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

2406720 is a wasteful number, since it uses less digits than its factorization.

2406720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 2406720 is about 1551.3606930692. The cubic root of 2406720 is about 134.0114343848.

The spelling of 2406720 in words is "two million, four hundred six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 64 69 80 92 96 109 115 120 138 160 184 192 218 230 240 276 320 327 345 368 436 460 480 545 552 654 690 736 872 920 960 1090 1104 1308 1380 1472 1635 1744 1840 2180 2208 2507 2616 2760 3270 3488 3680 4360 4416 5014 5232 5520 6540 6976 7360 7521 8720 10028 10464 11040 12535 13080 15042 17440 20056 20928 22080 25070 26160 30084 34880 37605 40112 50140 52320 60168 75210 80224 100280 104640 120336 150420 160448 200560 240672 300840 401120 481344 601680 802240 1203360 2406720