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8505140 = 225779769
BaseRepresentation
bin100000011100…
…011100110100
3121000002212012
4200130130310
54134131030
6502143352
7132202220
oct40343464
917002765
108505140
11488a046
122a21b58
1319ba337
1411b5780
15b30095
hex81c734

8505140 has 48 divisors (see below), whose sum is σ = 20697600. Its totient is φ = 2875392.

The previous prime is 8505137. The next prime is 8505187. The reversal of 8505140 is 415058.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10676 + ... + 11444.

It is an arithmetic number, because the mean of its divisors is an integer number (431200).

Almost surely, 28505140 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 8505140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10348800).

8505140 is an abundant number, since it is smaller than the sum of its proper divisors (12192460).

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

8505140 is a wasteful number, since it uses less digits than its factorization.

8505140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 23.

The square root of 8505140 is about 2916.3573169281. The cubic root of 8505140 is about 204.1238834876.

The spelling of 8505140 in words is "eight million, five hundred five thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 79 140 158 316 395 553 769 790 1106 1538 1580 2212 2765 3076 3845 5383 5530 7690 10766 11060 15380 21532 26915 53830 60751 107660 121502 243004 303755 425257 607510 850514 1215020 1701028 2126285 4252570 8505140