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851290132 = 2272113147271
BaseRepresentation
bin110010101111011…
…010100000010100
32012022212000112011
4302233122200110
53220412241012
6220250034004
730044563300
oct6257324024
92168760464
10851290132
113a7592970
121b9118904
131074a0594
14810bad00
154eb091a7
hex32bda814

851290132 has 144 divisors (see below), whose sum is σ = 2000388096. Its totient is φ = 312984000.

The previous prime is 851290129. The next prime is 851290151. The reversal of 851290132 is 231092158.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a junction number, because it is equal to n+sod(n) for n = 851290094 and 851290103.

It is a congruent number.

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, 3141157 + ... + 3141427.

It is an arithmetic number, because the mean of its divisors is an integer number (13891584).

Almost surely, 2851290132 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 851290132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1000194048).

851290132 is an abundant number, since it is smaller than the sum of its proper divisors (1149097964).

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

851290132 is a wasteful number, since it uses less digits than its factorization.

851290132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 851290132 is about 29176.8766662918. The cubic root of 851290132 is about 947.7472502383.

The spelling of 851290132 in words is "eight hundred fifty-one million, two hundred ninety thousand, one hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 28 31 44 47 49 62 77 94 98 124 154 188 196 217 271 308 329 341 434 517 539 542 658 682 868 1034 1078 1084 1316 1364 1457 1519 1897 2068 2156 2303 2387 2914 2981 3038 3619 3794 4606 4774 5828 5962 6076 7238 7588 8401 9212 9548 10199 11924 12737 13279 14476 16027 16709 16802 20398 20867 25333 25474 26558 32054 33418 33604 40796 41734 50666 50948 53116 58807 64108 66836 71393 83468 89159 92411 101332 112189 117614 140107 142786 146069 178318 184822 224378 235228 280214 285572 292138 356636 369644 394847 411649 448756 560428 584276 624113 646877 785323 789694 823298 980749 1248226 1293754 1570646 1579388 1646596 1961498 2496452 2587508 2763929 3141292 3922996 4343317 4528139 5527858 6865243 8686634 9056278 11055716 13730486 17373268 18112556 19347503 27460972 30403219 38695006 60806438 77390012 121612876 212822533 425645066 851290132