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857142090 = 232578915287
BaseRepresentation
bin110011000101101…
…111001101001010
32012201212022220100
4303011233031022
53223412021330
6221015310230
730145405350
oct6305571512
92181768810
10857142090
113aa91a5a2
121bb07b376
1310876c08c
1481ba17d0
15503b3060
hex3316f34a

857142090 has 96 divisors (see below), whose sum is σ = 2575722240. Its totient is φ = 193704192.

The previous prime is 857142073. The next prime is 857142109. The reversal of 857142090 is 90241758.

857142090 is a `hidden beast` number, since 85 + 71 + 420 + 90 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48427 + ... + 63713.

It is an arithmetic number, because the mean of its divisors is an integer number (26830440).

Almost surely, 2857142090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 857142090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1287861120).

857142090 is an abundant number, since it is smaller than the sum of its proper divisors (1718580150).

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

857142090 is a wasteful number, since it uses less digits than its factorization.

857142090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15396 (or 15393 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 857142090 is about 29276.9890869946. The cubic root of 857142090 is about 949.9139682018.

The spelling of 857142090 in words is "eight hundred fifty-seven million, one hundred forty-two thousand, ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 89 90 105 126 178 210 267 315 445 534 623 630 801 890 1246 1335 1602 1869 2670 3115 3738 4005 5607 6230 8010 9345 11214 15287 18690 28035 30574 45861 56070 76435 91722 107009 137583 152870 214018 229305 275166 321027 458610 535045 642054 687915 963081 1070090 1360543 1375830 1605135 1926162 2721086 3210270 4081629 4815405 6802715 8163258 9523801 9630810 12244887 13605430 19047602 20408145 24489774 28571403 40816290 47619005 57142806 61224435 85714209 95238010 122448870 142857015 171428418 285714030 428571045 857142090