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85106434 = 2721945707
BaseRepresentation
bin1010001001010…
…01111100000010
312221010212002011
411010221330002
5133241401214
612240043134
72052251500
oct504517402
9187125064
1085106434
11440497a6
12246034aa
131482a74a
14b435670
157711ac4
hex5129f02

85106434 has 24 divisors (see below), whose sum is σ = 156321360. Its totient is φ = 34553736.

The previous prime is 85106429. The next prime is 85106443. The reversal of 85106434 is 43460158.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 85106396 and 85106405.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20992 + ... + 24715.

It is an arithmetic number, because the mean of its divisors is an integer number (6513390).

Almost surely, 285106434 is an apocalyptic number.

85106434 is a deficient number, since it is larger than the sum of its proper divisors (71214926).

85106434 is a wasteful number, since it uses less digits than its factorization.

85106434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45742 (or 45735 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 85106434 is about 9225.3148455757. The cubic root of 85106434 is about 439.8664091684.

The spelling of 85106434 in words is "eighty-five million, one hundred six thousand, four hundred thirty-four".

Divisors: 1 2 7 14 19 38 49 98 133 266 931 1862 45707 91414 319949 639898 868433 1736866 2239643 4479286 6079031 12158062 42553217 85106434