Search a number
-
+
85739540 = 22533712721
BaseRepresentation
bin1010001110001…
…00100000010100
312222100000112112
411013010200110
5133422131130
612301410152
72060526335
oct507044024
9188300475
1085739540
1144441427
1224869958
13149bc973
14b55c28c
1577d9495
hex51c4814

85739540 has 24 divisors (see below), whose sum is σ = 180601512. Its totient is φ = 34191360.

The previous prime is 85739539. The next prime is 85739543. The reversal of 85739540 is 4593758.

It can be written as a sum of positive squares in 4 ways, for example, as 14032516 + 71707024 = 3746^2 + 8468^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85739543) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 380 + ... + 13100.

It is an arithmetic number, because the mean of its divisors is an integer number (7525063).

Almost surely, 285739540 is an apocalyptic number.

It is an amenable number.

85739540 is an abundant number, since it is smaller than the sum of its proper divisors (94861972).

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

85739540 is a wasteful number, since it uses less digits than its factorization.

85739540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13067 (or 13065 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 41.

The square root of 85739540 is about 9259.5647845890. The cubic root of 85739540 is about 440.9544364291.

The spelling of 85739540 in words is "eighty-five million, seven hundred thirty-nine thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 337 674 1348 1685 3370 6740 12721 25442 50884 63605 127210 254420 4286977 8573954 17147908 21434885 42869770 85739540