Search a number
-
+
85312470 = 23519971543
BaseRepresentation
bin1010001010111…
…00001111010110
312221112022201010
411011130033112
5133314444340
612244313050
72054100255
oct505341726
9187468633
1085312470
114417a581
12246a2786
13148a0469
14b48a79c
157752b80
hex515c3d6

85312470 has 64 divisors (see below), whose sum is σ = 217889280. Its totient is φ = 21316608.

The previous prime is 85312439. The next prime is 85312471. The reversal of 85312470 is 7421358.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85312471) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54519 + ... + 56061.

It is an arithmetic number, because the mean of its divisors is an integer number (3404520).

Almost surely, 285312470 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85312470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108944640).

85312470 is an abundant number, since it is smaller than the sum of its proper divisors (132576810).

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

85312470 is a wasteful number, since it uses less digits than its factorization.

85312470 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1669.

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 85312470 is about 9236.4749769596. The cubic root of 85312470 is about 440.2210837985.

The spelling of 85312470 in words is "eighty-five million, three hundred twelve thousand, four hundred seventy".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 97 114 190 194 285 291 485 570 582 970 1455 1543 1843 2910 3086 3686 4629 5529 7715 9215 9258 11058 15430 18430 23145 27645 29317 46290 55290 58634 87951 146585 149671 175902 293170 299342 439755 449013 748355 879510 898026 1496710 2245065 2843749 4490130 5687498 8531247 14218745 17062494 28437490 42656235 85312470