Search a number
-
+
2466240 = 26357367
BaseRepresentation
bin1001011010000111000000
311122022001020
421122013000
51112404430
6124505440
726651130
oct11320700
94568036
102466240
111434a17
129ab280
1368471a
14482ac0
1533ab10
hex25a1c0

2466240 has 112 divisors (see below), whose sum is σ = 8973312. Its totient is φ = 562176.

The previous prime is 2466239. The next prime is 2466253. The reversal of 2466240 is 426642.

2466240 = T245 + T246 + ... + T308.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2466240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6537 + ... + 6903.

22466240 is an apocalyptic number.

2466240 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 2466240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4486656).

2466240 is an abundant number, since it is smaller than the sum of its proper divisors (6507072).

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

2466240 is a wasteful number, since it uses less digits than its factorization.

2466240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 2466240 is about 1570.4266936091. The cubic root of 2466240 is about 135.1071851096.

The spelling of 2466240 in words is "two million, four hundred sixty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 367 420 448 480 560 672 734 840 960 1101 1120 1344 1468 1680 1835 2202 2240 2569 2936 3360 3670 4404 5138 5505 5872 6720 7340 7707 8808 10276 11010 11744 12845 14680 15414 17616 20552 22020 23488 25690 29360 30828 35232 38535 41104 44040 51380 58720 61656 70464 77070 82208 88080 102760 117440 123312 154140 164416 176160 205520 246624 308280 352320 411040 493248 616560 822080 1233120 2466240