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2918240 = 255132361
BaseRepresentation
bin1011001000011101100000
312111021001222
423020131200
51221340430
6142314212
733542663
oct13103540
95437058
102918240
111713576
12b88968
137b2390
1455d6da
153c99e5
hex2c8760

2918240 has 96 divisors (see below), whose sum is σ = 7874496. Its totient is φ = 1013760.

The previous prime is 2918239. The next prime is 2918249. The reversal of 2918240 is 428192.

2918240 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×29182402 = 17032249395200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2918249) 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, 47810 + ... + 47870.

It is an arithmetic number, because the mean of its divisors is an integer number (82026).

22918240 is an apocalyptic number.

2918240 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 2918240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3937248).

2918240 is an abundant number, since it is smaller than the sum of its proper divisors (4956256).

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

2918240 is a wasteful number, since it uses less digits than its factorization.

2918240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 2918240 is about 1708.2856903926. The cubic root of 2918240 is about 142.9026673958.

The spelling of 2918240 in words is "two million, nine hundred eighteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 23 26 32 40 46 52 61 65 80 92 104 115 122 130 160 184 208 230 244 260 299 305 368 416 460 488 520 598 610 736 793 920 976 1040 1196 1220 1403 1495 1586 1840 1952 2080 2392 2440 2806 2990 3172 3680 3965 4784 4880 5612 5980 6344 7015 7930 9568 9760 11224 11960 12688 14030 15860 18239 22448 23920 25376 28060 31720 36478 44896 47840 56120 63440 72956 91195 112240 126880 145912 182390 224480 291824 364780 583648 729560 1459120 2918240