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854240090 = 251137209887
BaseRepresentation
bin110010111010101…
…010101101011010
32012112101220002212
4302322222231122
53222141140330
6220433155122
730111630614
oct6272525532
92175356085
10854240090
113a9218250
121ba0bbaa2
13107c94212
1481647db4
154eedd295
hex32eaab5a

854240090 has 32 divisors (see below), whose sum is σ = 1722760704. Its totient is φ = 302235840.

The previous prime is 854240083. The next prime is 854240099. The reversal of 854240090 is 90042458.

It is a super-2 number, since 2×8542400902 = 1459452262726416200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (854240099) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100874 + ... + 109013.

It is an arithmetic number, because the mean of its divisors is an integer number (53836272).

Almost surely, 2854240090 is an apocalyptic number.

854240090 is an abundant number, since it is smaller than the sum of its proper divisors (868520614).

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

854240090 is a wasteful number, since it uses less digits than its factorization.

854240090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209942.

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 854240090 is about 29227.3859590624. The cubic root of 854240090 is about 948.8407244271.

The spelling of 854240090 in words is "eight hundred fifty-four million, two hundred forty thousand, ninety".

Divisors: 1 2 5 10 11 22 37 55 74 110 185 370 407 814 2035 4070 209887 419774 1049435 2098870 2308757 4617514 7765819 11543785 15531638 23087570 38829095 77658190 85424009 170848018 427120045 854240090