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5203080 = 2332597149
BaseRepresentation
bin10011110110010010001000
3100210100021200
4103312102020
52312444310
6303304200
762140221
oct23662210
910710250
105203080
112a34173
1218ab060
13110235c
14996248
156cb9c0
hex4f6488

5203080 has 96 divisors (see below), whose sum is σ = 17199000. Its totient is φ = 1363968.

The previous prime is 5203069. The next prime is 5203097. The reversal of 5203080 is 803025.

It can be written as a sum of positive squares in 4 ways, for example, as 3006756 + 2196324 = 1734^2 + 1482^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34846 + ... + 34994.

Almost surely, 25203080 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 5203080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8599500).

5203080 is an abundant number, since it is smaller than the sum of its proper divisors (11995920).

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

5203080 is a wasteful number, since it uses less digits than its factorization.

5203080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263 (or 256 counting only the distinct ones).

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

The square root of 5203080 is about 2281.0260849013. The cubic root of 5203080 is about 173.2820196561.

It can be divided in two parts, 520 and 3080, that added together give a square (3600 = 602).

The spelling of 5203080 in words is "five million, two hundred three thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 97 120 149 180 194 291 298 360 388 447 485 582 596 745 776 873 894 970 1164 1192 1341 1455 1490 1746 1788 1940 2235 2328 2682 2910 2980 3492 3576 3880 4365 4470 5364 5820 5960 6705 6984 8730 8940 10728 11640 13410 14453 17460 17880 26820 28906 34920 43359 53640 57812 72265 86718 115624 130077 144530 173436 216795 260154 289060 346872 433590 520308 578120 650385 867180 1040616 1300770 1734360 2601540 5203080