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856440 = 233351361
BaseRepresentation
bin11010001000101111000
31121111211000
43101011320
5204401230
630205000
710164624
oct3210570
91544730
10856440
11535502
12353760
1323ca90
14184184
1511db60
hexd1178

856440 has 128 divisors (see below), whose sum is σ = 3124800. Its totient is φ = 207360.

The previous prime is 856421. The next prime is 856441. The reversal of 856440 is 44658.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (856441) 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, 14010 + ... + 14070.

2856440 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 856440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1562400).

856440 is an abundant number, since it is smaller than the sum of its proper divisors (2268360).

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

856440 is a wasteful number, since it uses less digits than its factorization.

856440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 856440 is about 925.4404356845. The cubic root of 856440 is about 94.9654537363.

It can be divided in two parts, 856 and 440, that added together give a 4-th power (1296 = 64).

The spelling of 856440 in words is "eight hundred fifty-six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 30 36 39 40 45 52 54 60 61 65 72 78 90 104 108 117 120 122 130 135 156 180 183 195 216 234 244 260 270 305 312 351 360 366 390 468 488 520 540 549 585 610 702 732 780 793 915 936 1080 1098 1170 1220 1404 1464 1560 1586 1647 1755 1830 2196 2340 2379 2440 2745 2808 3172 3294 3510 3660 3965 4392 4680 4758 5490 6344 6588 7020 7137 7320 7930 8235 9516 10980 11895 13176 14040 14274 15860 16470 19032 21411 21960 23790 28548 31720 32940 35685 42822 47580 57096 65880 71370 85644 95160 107055 142740 171288 214110 285480 428220 856440