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857136420 = 223257313883
BaseRepresentation
bin110011000101101…
…101110100100100
32012201212001010100
4303011231310210
53223411331140
6221015224100
730145353000
oct6305556444
92181761110
10857136420
113aa916308
121bb078030
1310876961a
1481b9d700
15503b1530
hex3316dd24

857136420 has 144 divisors (see below), whose sum is σ = 3032265600. Its totient is φ = 195902784.

The previous prime is 857136407. The next prime is 857136421. The reversal of 857136420 is 24631758.

857136420 is a `hidden beast` number, since 8 + 5 + 7 + 1 + 3 + 642 + 0 = 666.

857136420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (857136421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54799 + ... + 68681.

It is an arithmetic number, because the mean of its divisors is an integer number (21057400).

Almost surely, 2857136420 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 857136420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1516132800).

857136420 is an abundant number, since it is smaller than the sum of its proper divisors (2175129180).

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

857136420 is a wasteful number, since it uses less digits than its factorization.

857136420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13919 (or 13900 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 857136420 is about 29276.8922531064. The cubic root of 857136420 is about 949.9118736350.

The spelling of 857136420 in words is "eight hundred fifty-seven million, one hundred thirty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 343 420 441 490 588 630 686 735 882 980 1029 1260 1372 1470 1715 1764 2058 2205 2940 3087 3430 4116 4410 5145 6174 6860 8820 10290 12348 13883 15435 20580 27766 30870 41649 55532 61740 69415 83298 97181 124947 138830 166596 194362 208245 249894 277660 291543 388724 416490 485905 499788 583086 624735 680267 832980 874629 971810 1166172 1249470 1360534 1457715 1749258 1943620 2040801 2498940 2721068 2915430 3401335 3498516 4081602 4373145 4761869 5830860 6122403 6802670 8163204 8746290 9523738 10204005 12244806 13605340 14285607 17492580 19047476 20408010 23809345 24489612 28571214 30612015 40816020 42856821 47618690 57142428 61224030 71428035 85713642 95237380 122448060 142856070 171427284 214284105 285712140 428568210 857136420