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5885420040 = 233357176753
BaseRepresentation
bin1010111101100110…
…00110001000001000
3120012011110022112000
411132303012020020
544023131420130
62412000551000
7265563150003
oct53663061010
916164408460
105885420040
112550191205
121183022460
1372a41bb86
143db90453a
15246a53260
hex15ecc6208

5885420040 has 128 divisors (see below), whose sum is σ = 19894636800. Its totient is φ = 1547320320.

The previous prime is 5885420027. The next prime is 5885420063. The reversal of 5885420040 is 400245885.

5885420040 is a `hidden beast` number, since 588 + 54 + 20 + 0 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5885419977 and 5885420004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38304 + ... + 115056.

It is an arithmetic number, because the mean of its divisors is an integer number (155426850).

Almost surely, 25885420040 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 5885420040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9947318400).

5885420040 is an abundant number, since it is smaller than the sum of its proper divisors (14009216760).

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

5885420040 is a wasteful number, since it uses less digits than its factorization.

5885420040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76844 (or 76834 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 5885420040 is about 76716.4913170565. The cubic root of 5885420040 is about 1805.4791933215.

The spelling of 5885420040 in words is "five billion, eight hundred eighty-five million, four hundred twenty thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 71 72 90 108 120 135 142 180 213 216 270 284 355 360 426 540 568 639 710 852 1065 1080 1278 1420 1704 1917 2130 2556 2840 3195 3834 4260 5112 6390 7668 8520 9585 12780 15336 19170 25560 38340 76680 76753 153506 230259 307012 383765 460518 614024 690777 767530 921036 1151295 1381554 1535060 1842072 2072331 2302590 2763108 3070120 3453885 4144662 4605180 5449463 5526216 6907770 8289324 9210360 10361655 10898926 13815540 16348389 16578648 20723310 21797852 27247315 27631080 32696778 41446620 43595704 49045167 54494630 65393556 81741945 82893240 98090334 108989260 130787112 147135501 163483890 196180668 217978520 245225835 294271002 326967780 392361336 490451670 588542004 653935560 735677505 980903340 1177084008 1471355010 1961806680 2942710020 5885420040