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851094132 = 223731910883
BaseRepresentation
bin110010101110101…
…010101001110100
32012022111001122220
4302232222221310
53220340003012
6220241522340
730043116000
oct6256525164
92168431586
10851094132
113a7469689
121b90433b0
131074322c5
1481069700
154eabb08c
hex32baaa74

851094132 has 96 divisors (see below), whose sum is σ = 2438016000. Its totient is φ = 230350176.

The previous prime is 851094131. The next prime is 851094161. The reversal of 851094132 is 231490158.

It is a super-2 number, since 2×8510941322 = 1448722443049666848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 851094093 and 851094102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (851094131) 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, 72763 + ... + 83645.

It is an arithmetic number, because the mean of its divisors is an integer number (25396000).

Almost surely, 2851094132 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 851094132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1219008000).

851094132 is an abundant number, since it is smaller than the sum of its proper divisors (1586921868).

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

851094132 is a wasteful number, since it uses less digits than its factorization.

851094132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10930 (or 10914 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 851094132 is about 29173.5176487170. The cubic root of 851094132 is about 947.6745085990.

The spelling of 851094132 in words is "eight hundred fifty-one million, ninety-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 49 57 76 84 98 114 133 147 196 228 266 294 343 399 532 588 686 798 931 1029 1372 1596 1862 2058 2793 3724 4116 5586 6517 10883 11172 13034 19551 21766 26068 32649 39102 43532 65298 76181 78204 130596 152362 206777 228543 304724 413554 457086 533267 620331 827108 914172 1066534 1240662 1447439 1599801 2133068 2481324 2894878 3199602 3732869 4342317 5789756 6399204 7465738 8684634 10132073 11198607 14931476 17369268 20264146 22397214 30396219 40528292 44794428 60792438 70924511 121584876 141849022 212773533 283698044 425547066 851094132