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856142040 = 2335134312763
BaseRepresentation
bin110011000001111…
…011000011011000
32012122222112002110
4303001323003120
53223133021130
6220542032320
730134041635
oct6301730330
92178875073
10856142040
113aa2a7206
121ba8786a0
131084abb30
14819c118c
1550266ab0
hex3307b0d8

856142040 has 128 divisors (see below), whose sum is σ = 2830544640. Its totient is φ = 205825536.

The previous prime is 856142011. The next prime is 856142047. The reversal of 856142040 is 40241658.

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 = 856141989 and 856142007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (856142047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60699 + ... + 73461.

It is an arithmetic number, because the mean of its divisors is an integer number (22113630).

Almost surely, 2856142040 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 856142040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1415272320).

856142040 is an abundant number, since it is smaller than the sum of its proper divisors (1974402600).

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

856142040 is a wasteful number, since it uses less digits than its factorization.

856142040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12833 (or 12829 counting only the distinct ones).

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

The square root of 856142040 is about 29259.9049895928. The cubic root of 856142040 is about 949.5443946454.

Adding to 856142040 its reverse (40241658), we get a palindrome (896383698).

The spelling of 856142040 in words is "eight hundred fifty-six million, one hundred forty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 43 52 60 65 78 86 104 120 129 130 156 172 195 215 258 260 312 344 390 430 516 520 559 645 780 860 1032 1118 1290 1560 1677 1720 2236 2580 2795 3354 4472 5160 5590 6708 8385 11180 12763 13416 16770 22360 25526 33540 38289 51052 63815 67080 76578 102104 127630 153156 165919 191445 255260 306312 331838 382890 497757 510520 548809 663676 765780 829595 995514 1097618 1327352 1531560 1646427 1659190 1991028 2195236 2488785 2744045 3292854 3318380 3982056 4390472 4977570 5488090 6585708 6636760 7134517 8232135 9955140 10976180 13171416 14269034 16464270 19910280 21403551 21952360 28538068 32928540 35672585 42807102 57076136 65857080 71345170 85614204 107017755 142690340 171228408 214035510 285380680 428071020 856142040