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4387240 = 2351113259
BaseRepresentation
bin10000101111000110101000
322020220011101
4100233012220
52110342430
6234011144
752201534
oct20570650
98226141
104387240
112527220
121576ab4
13ba7c00
14822bc4
155b9dca
hex42f1a8

4387240 has 96 divisors (see below), whose sum is σ = 11858400. Its totient is φ = 1447680.

The previous prime is 4387231. The next prime is 4387249. The reversal of 4387240 is 427834.

4387240 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4387231) and next prime (4387249).

It is a super-3 number, since 3×43872403 (a number of 21 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4387199 and 4387208.

It is not an unprimeable number, because it can be changed into a prime (4387249) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74331 + ... + 74389.

It is an arithmetic number, because the mean of its divisors is an integer number (123525).

Almost surely, 24387240 is an apocalyptic number.

4387240 is a gapful number since it is divisible by the number (40) 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 4387240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5929200).

4387240 is an abundant number, since it is smaller than the sum of its proper divisors (7471160).

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

4387240 is a wasteful number, since it uses less digits than its factorization.

4387240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 4387240 is about 2094.5739423568. The cubic root of 4387240 is about 163.7056986386.

The spelling of 4387240 in words is "four million, three hundred eighty-seven thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 59 65 88 104 110 118 130 143 169 220 236 260 286 295 338 440 472 520 572 590 649 676 715 767 845 1144 1180 1298 1352 1430 1534 1690 1859 2360 2596 2860 3068 3245 3380 3718 3835 5192 5720 6136 6490 6760 7436 7670 8437 9295 9971 12980 14872 15340 16874 18590 19942 25960 30680 33748 37180 39884 42185 49855 67496 74360 79768 84370 99710 109681 168740 199420 219362 337480 398840 438724 548405 877448 1096810 2193620 4387240