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5342760 = 233451797
BaseRepresentation
bin10100011000011000101000
3101001102220000
4110120120220
52331432020
6310303000
763261363
oct24303050
911042800
105342760
11301a105
121957a60
131150ac7
149d10da
15708090
hex518628

5342760 has 160 divisors (see below), whose sum is σ = 19209960. Its totient is φ = 1327104.

The previous prime is 5342749. The next prime is 5342761. The reversal of 5342760 is 672435.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4743684 + 599076 = 2178^2 + 774^2 .

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

It is not an unprimeable number, because it can be changed into a prime (5342761) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 55032 + ... + 55128.

Almost surely, 25342760 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 5342760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9604980).

5342760 is an abundant number, since it is smaller than the sum of its proper divisors (13867200).

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

5342760 is a wasteful number, since it uses less digits than its factorization.

5342760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 5342760 is about 2311.4411089188. The cubic root of 5342760 is about 174.8189692578.

The spelling of 5342760 in words is "five million, three hundred forty-two thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 17 18 20 24 27 30 34 36 40 45 51 54 60 68 72 81 85 90 97 102 108 120 135 136 153 162 170 180 194 204 216 255 270 291 306 324 340 360 388 405 408 459 485 510 540 582 612 648 680 765 776 810 873 918 970 1020 1080 1164 1224 1377 1455 1530 1620 1649 1746 1836 1940 2040 2295 2328 2619 2754 2910 3060 3240 3298 3492 3672 3880 4365 4590 4947 5238 5508 5820 6120 6596 6885 6984 7857 8245 8730 9180 9894 10476 11016 11640 13095 13192 13770 14841 15714 16490 17460 18360 19788 20952 24735 26190 27540 29682 31428 32980 34920 39285 39576 44523 49470 52380 55080 59364 62856 65960 74205 78570 89046 98940 104760 118728 133569 148410 157140 178092 197880 222615 267138 296820 314280 356184 445230 534276 593640 667845 890460 1068552 1335690 1780920 2671380 5342760