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5389040 = 245314153
BaseRepresentation
bin10100100011101011110000
3101010210101002
4110203223300
52334422130
6311301132
763543326
oct24435360
911123332
105389040
113050958
12197a7a8
131168ba7
14a03d16
15716b45
hex523af0

5389040 has 80 divisors (see below), whose sum is σ = 13499136. Its totient is φ = 1996800.

The previous prime is 5389031. The next prime is 5389049. The reversal of 5389040 is 409835.

It is an interprime number because it is at equal distance from previous prime (5389031) and next prime (5389049).

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 5388994 and 5389012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5389049) 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 15 ways as a sum of consecutive naturals, for example, 101654 + ... + 101706.

Almost surely, 25389040 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 5389040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6749568).

5389040 is an abundant number, since it is smaller than the sum of its proper divisors (8110096).

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

5389040 is a wasteful number, since it uses less digits than its factorization.

5389040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 5389040 is about 2321.4305934057. The cubic root of 5389040 is about 175.3222904401.

The spelling of 5389040 in words is "five million, three hundred eighty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 41 53 62 80 82 106 124 155 164 205 212 248 265 310 328 410 424 496 530 620 656 820 848 1060 1240 1271 1640 1643 2120 2173 2480 2542 3280 3286 4240 4346 5084 6355 6572 8215 8692 10168 10865 12710 13144 16430 17384 20336 21730 25420 26288 32860 34768 43460 50840 65720 67363 86920 101680 131440 134726 173840 269452 336815 538904 673630 1077808 1347260 2694520 5389040