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85436430 = 2357140111
BaseRepresentation
bin1010001011110…
…10100000001110
312221202121202020
411011322200032
5133332431210
612251111010
72055124542
oct505724016
9187677666
1085436430
1144254722
1224742466
1314914a01
14b4bda22
157779770
hex517a80e

85436430 has 32 divisors (see below), whose sum is σ = 207940608. Its totient is φ = 22461600.

The previous prime is 85436387. The next prime is 85436437. The reversal of 85436430 is 3463458.

It is a super-2 number, since 2×854364302 = 14598767142289800, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 85436391 and 85436400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85436437) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17926 + ... + 22185.

It is an arithmetic number, because the mean of its divisors is an integer number (6498144).

Almost surely, 285436430 is an apocalyptic number.

85436430 is an abundant number, since it is smaller than the sum of its proper divisors (122504178).

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

85436430 is a wasteful number, since it uses less digits than its factorization.

85436430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40192.

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 85436430 is about 9243.1828933544. The cubic root of 85436430 is about 440.4341960461.

Adding to 85436430 its reverse (3463458), we get a palindrome (88899888).

The spelling of 85436430 in words is "eighty-five million, four hundred thirty-six thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 71 142 213 355 426 710 1065 2130 40111 80222 120333 200555 240666 401110 601665 1203330 2847881 5695762 8543643 14239405 17087286 28478810 42718215 85436430