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5270832 = 24347283
BaseRepresentation
bin10100000110110100110000
3100220210020000
4110012310300
52322131312
6304550000
762541600
oct24066460
910823200
105270832
112a80066
121922300
131127148
149b2c00
156e1adc
hex506d30

5270832 has 150 divisors (see below), whose sum is σ = 17959788. Its totient is φ = 1487808.

The previous prime is 5270821. The next prime is 5270843. The reversal of 5270832 is 2380725.

It is an interprime number because it is at equal distance from previous prime (5270821) and next prime (5270843).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 5270796 and 5270805.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 63463 + ... + 63545.

Almost surely, 25270832 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 5270832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8979894).

5270832 is an abundant number, since it is smaller than the sum of its proper divisors (12688956).

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

5270832 is a wasteful number, since it uses less digits than its factorization.

5270832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 5270832 is about 2295.8292619444. The cubic root of 5270832 is about 174.0309100854.

The spelling of 5270832 in words is "five million, two hundred seventy thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 81 83 84 98 108 112 126 144 147 162 166 168 189 196 216 249 252 294 324 332 336 378 392 432 441 498 504 567 581 588 648 664 747 756 784 882 996 1008 1134 1162 1176 1296 1323 1328 1494 1512 1743 1764 1992 2241 2268 2324 2352 2646 2988 3024 3486 3528 3969 3984 4067 4482 4536 4648 5229 5292 5976 6723 6972 7056 7938 8134 8964 9072 9296 10458 10584 11952 12201 13446 13944 15687 15876 16268 17928 20916 21168 24402 26892 27888 31374 31752 32536 35856 36603 41832 47061 48804 53784 62748 63504 65072 73206 83664 94122 97608 107568 109809 125496 146412 188244 195216 219618 250992 292824 329427 376488 439236 585648 658854 752976 878472 1317708 1756944 2635416 5270832