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5780280 = 23351129151
BaseRepresentation
bin10110000011001100111000
3101212200001110
4112003030320
52434432110
6323520320
7100063062
oct26031470
911780043
105780280
1132988a0
121b290a0
131274cac
14aa6732
15792a20
hex583338

5780280 has 128 divisors (see below), whose sum is σ = 19699200. Its totient is φ = 1344000.

The previous prime is 5780273. The next prime is 5780287. The reversal of 5780280 is 820875.

It is an interprime number because it is at equal distance from previous prime (5780273) and next prime (5780287).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5780287) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38205 + ... + 38355.

It is an arithmetic number, because the mean of its divisors is an integer number (153900).

Almost surely, 25780280 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 5780280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9849600).

5780280 is an abundant number, since it is smaller than the sum of its proper divisors (13918920).

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

5780280 is a wasteful number, since it uses less digits than its factorization.

5780280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 30.

The square root of 5780280 is about 2404.2212876522. The cubic root of 5780280 is about 179.4663204994.

The spelling of 5780280 in words is "five million, seven hundred eighty thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 29 30 33 40 44 55 58 60 66 87 88 110 116 120 132 145 151 165 174 220 232 264 290 302 319 330 348 435 440 453 580 604 638 660 696 755 870 906 957 1160 1208 1276 1320 1510 1595 1661 1740 1812 1914 2265 2552 3020 3190 3322 3480 3624 3828 4379 4530 4785 4983 6040 6380 6644 7656 8305 8758 9060 9570 9966 12760 13137 13288 16610 17516 18120 19140 19932 21895 24915 26274 33220 35032 38280 39864 43790 48169 49830 52548 65685 66440 87580 96338 99660 105096 131370 144507 175160 192676 199320 240845 262740 289014 385352 481690 525480 578028 722535 963380 1156056 1445070 1926760 2890140 5780280