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5260080 = 2435731101
BaseRepresentation
bin10100000100001100110000
3100220020110210
4110010030300
52321310310
6304424120
762465340
oct24041460
910806423
105260080
112a72a81
121918040
131122297
149acd20
156dd820
hex504330

5260080 has 160 divisors (see below), whose sum is σ = 19427328. Its totient is φ = 1152000.

The previous prime is 5260051. The next prime is 5260081. The reversal of 5260080 is 800625.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (5260081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52030 + ... + 52130.

Almost surely, 25260080 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 5260080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9713664).

5260080 is an abundant number, since it is smaller than the sum of its proper divisors (14167248).

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

5260080 is a wasteful number, since it uses less digits than its factorization.

5260080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 5260080 is about 2293.4864289984. The cubic root of 5260080 is about 173.9124939838.

The spelling of 5260080 in words is "five million, two hundred sixty thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 31 35 40 42 48 56 60 62 70 80 84 93 101 105 112 120 124 140 155 168 186 202 210 217 240 248 280 303 310 336 372 404 420 434 465 496 505 560 606 620 651 707 744 808 840 868 930 1010 1085 1212 1240 1302 1414 1488 1515 1616 1680 1736 1860 2020 2121 2170 2424 2480 2604 2828 3030 3131 3255 3472 3535 3720 4040 4242 4340 4848 5208 5656 6060 6262 6510 7070 7440 8080 8484 8680 9393 10416 10605 11312 12120 12524 13020 14140 15655 16968 17360 18786 21210 21917 24240 25048 26040 28280 31310 33936 37572 42420 43834 46965 50096 52080 56560 62620 65751 75144 84840 87668 93930 109585 125240 131502 150288 169680 175336 187860 219170 250480 263004 328755 350672 375720 438340 526008 657510 751440 876680 1052016 1315020 1753360 2630040 5260080