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5293960 = 235723773
BaseRepresentation
bin10100001100011110001000
3100221221221121
4110030132020
52323401320
6305245024
762666200
oct24143610
910857847
105293960
112a96481
121933774
131134829
149bb400
156e88aa
hex50c788

5293960 has 96 divisors (see below), whose sum is σ = 14425560. Its totient is φ = 1741824.

The previous prime is 5293957. The next prime is 5293991. The reversal of 5293960 is 693925.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5080516 + 213444 = 2254^2 + 462^2 .

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

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, 72484 + ... + 72556.

Almost surely, 25293960 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 5293960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7212780).

5293960 is an abundant number, since it is smaller than the sum of its proper divisors (9131600).

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

5293960 is a wasteful number, since it uses less digits than its factorization.

5293960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 34.

The square root of 5293960 is about 2300.8607085176. The cubic root of 5293960 is about 174.2850833726.

It can be divided in two parts, 529 and 3960, that added together give a square (4489 = 672).

The spelling of 5293960 in words is "five million, two hundred ninety-three thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 37 40 49 56 70 73 74 98 140 146 148 185 196 245 259 280 292 296 365 370 392 490 511 518 584 730 740 980 1022 1036 1295 1460 1480 1813 1960 2044 2072 2555 2590 2701 2920 3577 3626 4088 5110 5180 5402 7154 7252 9065 10220 10360 10804 13505 14308 14504 17885 18130 18907 20440 21608 27010 28616 35770 36260 37814 54020 71540 72520 75628 94535 108040 132349 143080 151256 189070 264698 378140 529396 661745 756280 1058792 1323490 2646980 5293960