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5885040 = 2435731113
BaseRepresentation
bin10110011100110001110000
3102001222202110
4112130301300
53001310130
6330045320
7101010360
oct26346160
912058673
105885040
11335a577
121b79840
1312b0895
14ad29a0
157b3ab0
hex59cc70

5885040 has 160 divisors (see below), whose sum is σ = 21712896. Its totient is φ = 1290240.

The previous prime is 5885029. The next prime is 5885051. The reversal of 5885040 is 405885.

It is an interprime number because it is at equal distance from previous prime (5885029) and next prime (5885051).

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

It is a junction number, because it is equal to n+sod(n) for n = 5884989 and 5885007.

It is a congruent number.

It is an unprimeable number.

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, 52024 + ... + 52136.

Almost surely, 25885040 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 5885040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10856448).

5885040 is an abundant number, since it is smaller than the sum of its proper divisors (15827856).

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

5885040 is a wasteful number, since it uses less digits than its factorization.

5885040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 5885040 is about 2425.9101384841. The cubic root of 5885040 is about 180.5440330670.

The spelling of 5885040 in words is "five million, eight hundred eighty-five thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 31 35 40 42 48 56 60 62 70 80 84 93 105 112 113 120 124 140 155 168 186 210 217 226 240 248 280 310 336 339 372 420 434 452 465 496 560 565 620 651 678 744 791 840 868 904 930 1085 1130 1240 1302 1356 1488 1582 1680 1695 1736 1808 1860 2170 2260 2373 2480 2604 2712 3164 3255 3390 3472 3503 3720 3955 4340 4520 4746 5208 5424 6328 6510 6780 7006 7440 7910 8680 9040 9492 10416 10509 11865 12656 13020 13560 14012 15820 17360 17515 18984 21018 23730 24521 26040 27120 28024 31640 35030 37968 42036 47460 49042 52080 52545 56048 63280 70060 73563 84072 94920 98084 105090 122605 140120 147126 168144 189840 196168 210180 245210 280240 294252 367815 392336 420360 490420 588504 735630 840720 980840 1177008 1471260 1961680 2942520 5885040