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5388240 = 24351113157
BaseRepresentation
bin10100100011011111010000
3101010202021110
4110203133100
52334410430
6311253320
763541104
oct24433720
911122243
105388240
1130502a0
12197a240
131168710
14a03904
157167b0
hex5237d0

5388240 has 160 divisors (see below), whose sum is σ = 19748736. Its totient is φ = 1198080.

The previous prime is 5388193. The next prime is 5388241. The reversal of 5388240 is 428835.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 5388198 and 5388207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5388241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34242 + ... + 34398.

Almost surely, 25388240 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 5388240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9874368).

5388240 is an abundant number, since it is smaller than the sum of its proper divisors (14360496).

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

5388240 is a wasteful number, since it uses less digits than its factorization.

5388240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 5388240 is about 2321.2582794683. The cubic root of 5388240 is about 175.3136145118.

It can be divided in two parts, 538 and 8240, that added together give a palindrome (8778).

The spelling of 5388240 in words is "five million, three hundred eighty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 13 15 16 20 22 24 26 30 33 39 40 44 48 52 55 60 65 66 78 80 88 104 110 120 130 132 143 156 157 165 176 195 208 220 240 260 264 286 312 314 330 390 429 440 471 520 528 572 624 628 660 715 780 785 858 880 942 1040 1144 1256 1320 1430 1560 1570 1716 1727 1884 2041 2145 2288 2355 2512 2640 2860 3120 3140 3432 3454 3768 4082 4290 4710 5181 5720 6123 6280 6864 6908 7536 8164 8580 8635 9420 10205 10362 11440 12246 12560 13816 16328 17160 17270 18840 20410 20724 22451 24492 25905 27632 30615 32656 34320 34540 37680 40820 41448 44902 48984 51810 61230 67353 69080 81640 82896 89804 97968 103620 112255 122460 134706 138160 163280 179608 207240 224510 244920 269412 336765 359216 414480 449020 489840 538824 673530 898040 1077648 1347060 1796080 2694120 5388240