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2481360 = 243572211
BaseRepresentation
bin1001011101110011010000
311200001210020
421131303100
51113400420
6125103440
730043200
oct11356320
94601706
102481360
111445312
129b7b80
1368b57b
14488400
15340340
hex25dcd0

2481360 has 120 divisors (see below), whose sum is σ = 8990496. Its totient is φ = 564480.

The previous prime is 2481341. The next prime is 2481389. The reversal of 2481360 is 631842.

It is a happy number.

2481360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

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 2481360.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11655 + ... + 11865.

22481360 is an apocalyptic number.

2481360 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 2481360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4495248).

2481360 is an abundant number, since it is smaller than the sum of its proper divisors (6509136).

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

2481360 is a wasteful number, since it uses less digits than its factorization.

2481360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 2481360 is about 1575.2333160519. The cubic root of 2481360 is about 135.3827273788.

The spelling of 2481360 in words is "two million, four hundred eighty-one thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 49 56 60 70 80 84 98 105 112 120 140 147 168 196 210 211 240 245 280 294 336 392 420 422 490 560 588 633 735 784 840 844 980 1055 1176 1266 1470 1477 1680 1688 1960 2110 2352 2532 2940 2954 3165 3376 3920 4220 4431 5064 5880 5908 6330 7385 8440 8862 10128 10339 11760 11816 12660 14770 16880 17724 20678 22155 23632 25320 29540 31017 35448 41356 44310 50640 51695 59080 62034 70896 82712 88620 103390 118160 124068 155085 165424 177240 206780 248136 310170 354480 413560 496272 620340 827120 1240680 2481360