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5106240 = 26345197
BaseRepresentation
bin10011011110101001000000
3100121102110000
4103132221000
52301344430
6301240000
761254666
oct23365100
910542400
105106240
112978437
121863000
13109a259
1496cc36
156ace60
hex4dea40

5106240 has 140 divisors (see below), whose sum is σ = 18255996. Its totient is φ = 1354752.

The previous prime is 5106229. The next prime is 5106247. The reversal of 5106240 is 426015.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3779136 + 1327104 = 1944^2 + 1152^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5106247) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25822 + ... + 26018.

Almost surely, 25106240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5106240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9127998).

5106240 is an abundant number, since it is smaller than the sum of its proper divisors (13149756).

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

5106240 is a wasteful number, since it uses less digits than its factorization.

5106240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 5106240 is about 2259.6990950124. The cubic root of 5106240 is about 172.2002355252.

The spelling of 5106240 in words is "five million, one hundred six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 135 144 160 162 180 192 197 216 240 270 288 320 324 360 394 405 432 480 540 576 591 648 720 788 810 864 960 985 1080 1182 1296 1440 1576 1620 1728 1773 1970 2160 2364 2592 2880 2955 3152 3240 3546 3940 4320 4728 5184 5319 5910 6304 6480 7092 7880 8640 8865 9456 10638 11820 12608 12960 14184 15760 15957 17730 18912 21276 23640 25920 26595 28368 31520 31914 35460 37824 42552 47280 53190 56736 63040 63828 70920 79785 85104 94560 106380 113472 127656 141840 159570 170208 189120 212760 255312 283680 319140 340416 425520 510624 567360 638280 851040 1021248 1276560 1702080 2553120 5106240