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855435040 = 255291071723
BaseRepresentation
bin110010111111001…
…110011100100000
32012121122121021021
4302333032130200
53222442410130
6220514535224
730125035465
oct6277163440
92177577237
10855435040
113a9964009
121ba597514
131082c20a5
148187966c
155017737a
hex32fce720

855435040 has 96 divisors (see below), whose sum is σ = 2111417280. Its totient is φ = 327097344.

The previous prime is 855435023. The next prime is 855435047. The reversal of 855435040 is 40534558.

It is a junction number, because it is equal to n+sod(n) for n = 855434987 and 855435005.

It is not an unprimeable number, because it can be changed into a prime (855435047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 495619 + ... + 497341.

It is an arithmetic number, because the mean of its divisors is an integer number (21993930).

Almost surely, 2855435040 is an apocalyptic number.

855435040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 855435040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1055708640).

855435040 is an abundant number, since it is smaller than the sum of its proper divisors (1255982240).

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

855435040 is a wasteful number, since it uses less digits than its factorization.

855435040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1874 (or 1866 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 34.

The square root of 855435040 is about 29247.8211154267. The cubic root of 855435040 is about 949.2829455189.

Adding to 855435040 its reverse (40534558), we get a palindrome (895969598).

The spelling of 855435040 in words is "eight hundred fifty-five million, four hundred thirty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 107 116 145 160 214 232 290 428 464 535 580 856 928 1070 1160 1712 1723 2140 2320 3103 3424 3446 4280 4640 6206 6892 8560 8615 12412 13784 15515 17120 17230 24824 27568 31030 34460 49648 49967 55136 62060 68920 99296 99934 124120 137840 184361 199868 248240 249835 275680 368722 399736 496480 499670 737444 799472 921805 999340 1474888 1598944 1843610 1998680 2949776 3687220 3997360 5346469 5899552 7374440 7994720 10692938 14748880 21385876 26732345 29497760 42771752 53464690 85543504 106929380 171087008 213858760 427717520 855435040