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855468240 = 2435112511291
BaseRepresentation
bin110010111111010…
…110100011010000
32012121201021210220
4302333112203100
53222444440430
6220515353040
730125234334
oct6277264320
92177637726
10855468240
113a9986a50
121ba5b2780
13108304233
14818877c4
1550182110
hex32fd68d0

855468240 has 160 divisors (see below), whose sum is σ = 2906813952. Its totient is φ = 206400000.

The previous prime is 855468227. The next prime is 855468247. The reversal of 855468240 is 42864558.

It is a junction number, because it is equal to n+sod(n) for n = 855468192 and 855468201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (855468247) 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, 661995 + ... + 663285.

Almost surely, 2855468240 is an apocalyptic number.

855468240 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 855468240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1453406976).

855468240 is an abundant number, since it is smaller than the sum of its proper divisors (2051345712).

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

855468240 is a wasteful number, since it uses less digits than its factorization.

855468240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1569 (or 1563 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 42.

The square root of 855468240 is about 29248.3886735663. The cubic root of 855468240 is about 949.2952261264.

The spelling of 855468240 in words is "eight hundred fifty-five million, four hundred sixty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 251 264 330 440 502 528 660 753 880 1004 1255 1291 1320 1506 2008 2510 2582 2640 2761 3012 3765 3873 4016 5020 5164 5522 6024 6455 7530 7746 8283 10040 10328 11044 12048 12910 13805 14201 15060 15492 16566 19365 20080 20656 22088 25820 27610 28402 30120 30984 33132 38730 41415 42603 44176 51640 55220 56804 60240 61968 66264 71005 77460 82830 85206 103280 110440 113608 132528 142010 154920 165660 170412 213015 220880 227216 284020 309840 324041 331320 340824 426030 568040 648082 662640 681648 852060 972123 1136080 1296164 1620205 1704120 1944246 2592328 3240410 3408240 3564451 3888492 4860615 5184656 6480820 7128902 7776984 9721230 10693353 12961640 14257804 15553968 17822255 19442460 21386706 25923280 28515608 35644510 38884920 42773412 53466765 57031216 71289020 77769840 85546824 106933530 142578040 171093648 213867060 285156080 427734120 855468240