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2413040 = 245731139
BaseRepresentation
bin1001001101000111110000
311112121001212
421031013300
51104204130
6123415252
726340050
oct11150760
94477055
102413040
1113a8a53
12984528
13666446
1446b560
15329e95
hex24d1f0

2413040 has 80 divisors (see below), whose sum is σ = 6666240. Its totient is φ = 794880.

The previous prime is 2413007. The next prime is 2413043. The reversal of 2413040 is 403142.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2413043) 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, 17291 + ... + 17429.

It is an arithmetic number, because the mean of its divisors is an integer number (83328).

22413040 is an apocalyptic number.

2413040 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 2413040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3333120).

2413040 is an abundant number, since it is smaller than the sum of its proper divisors (4253200).

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

2413040 is a wasteful number, since it uses less digits than its factorization.

2413040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2413040 is about 1553.3962791252. The cubic root of 2413040 is about 134.1286356635.

Adding to 2413040 its reverse (403142), we get a palindrome (2816182).

The spelling of 2413040 in words is "two million, four hundred thirteen thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 35 40 56 62 70 80 112 124 139 140 155 217 248 278 280 310 434 496 556 560 620 695 868 973 1085 1112 1240 1390 1736 1946 2170 2224 2480 2780 3472 3892 4309 4340 4865 5560 7784 8618 8680 9730 11120 15568 17236 17360 19460 21545 30163 34472 38920 43090 60326 68944 77840 86180 120652 150815 172360 241304 301630 344720 482608 603260 1206520 2413040