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5357040 = 24351317101
BaseRepresentation
bin10100011011110111110000
3101002011110220
4110123313300
52332411130
6310453040
763351123
oct24336760
911064426
105357040
113029907
121964180
131157460
149d63ba
1570c410
hex51bdf0

5357040 has 160 divisors (see below), whose sum is σ = 19123776. Its totient is φ = 1228800.

The previous prime is 5357039. The next prime is 5357041. The reversal of 5357040 is 407535.

It is an interprime number because it is at equal distance from previous prime (5357039) and next prime (5357041).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 5357040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5357041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52990 + ... + 53090.

Almost surely, 25357040 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 5357040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9561888).

5357040 is an abundant number, since it is smaller than the sum of its proper divisors (13766736).

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

5357040 is a wasteful number, since it uses less digits than its factorization.

5357040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 24.

The square root of 5357040 is about 2314.5280296423. The cubic root of 5357040 is about 174.9745813421.

The spelling of 5357040 in words is "five million, three hundred fifty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 17 20 24 26 30 34 39 40 48 51 52 60 65 68 78 80 85 101 102 104 120 130 136 156 170 195 202 204 208 221 240 255 260 272 303 312 340 390 404 408 442 505 510 520 606 624 663 680 780 808 816 884 1010 1020 1040 1105 1212 1313 1326 1360 1515 1560 1616 1717 1768 2020 2040 2210 2424 2626 2652 3030 3120 3315 3434 3536 3939 4040 4080 4420 4848 5151 5252 5304 6060 6565 6630 6868 7878 8080 8585 8840 10302 10504 10608 12120 13130 13260 13736 15756 17170 17680 19695 20604 21008 22321 24240 25755 26260 26520 27472 31512 34340 39390 41208 44642 51510 52520 53040 63024 66963 68680 78780 82416 89284 103020 105040 111605 133926 137360 157560 178568 206040 223210 267852 315120 334815 357136 412080 446420 535704 669630 892840 1071408 1339260 1785680 2678520 5357040