Search a number
-
+
5538240 = 26335641
BaseRepresentation
bin10101001000000111000000
3101102101001000
4111020013000
52404210430
6314412000
765034321
oct25100700
911371030
105538240
113142a64
121a31000
1311bba86
14a42448
15745e60
hex5481c0

5538240 has 112 divisors (see below), whose sum is σ = 19568160. Its totient is φ = 1474560.

The previous prime is 5538233. The next prime is 5538241. The reversal of 5538240 is 428355.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5538241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8320 + ... + 8960.

Almost surely, 25538240 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 5538240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9784080).

5538240 is an abundant number, since it is smaller than the sum of its proper divisors (14029920).

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

5538240 is a wasteful number, since it uses less digits than its factorization.

5538240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 5538240 is about 2353.3465533151. The cubic root of 5538240 is about 176.9255647946.

5538240 divided by its sum of digits (27) gives a triangular number (205120 = T640).

It can be divided in two parts, 5538 and 240, that added together give a triangular number (5778 = T107).

The spelling of 5538240 in words is "five million, five hundred thirty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 641 720 864 960 1080 1282 1440 1728 1923 2160 2564 2880 3205 3846 4320 5128 5769 6410 7692 8640 9615 10256 11538 12820 15384 17307 19230 20512 23076 25640 28845 30768 34614 38460 41024 46152 51280 57690 61536 69228 76920 86535 92304 102560 115380 123072 138456 153840 173070 184608 205120 230760 276912 307680 346140 369216 461520 553824 615360 692280 923040 1107648 1384560 1846080 2769120 5538240