Search a number
-
+
85953270 = 23513613613
BaseRepresentation
bin1010001111110…
…00101011110110
312222201212201110
411013320223312
5134001001040
612310135450
72062406424
oct507705366
9188655643
1085953270
1144577a67
1224951586
1314a66030
14b5b6114
15782c980
hex51f8af6

85953270 has 64 divisors (see below), whose sum is σ = 225860544. Its totient is φ = 20805120.

The previous prime is 85953269. The next prime is 85953281. The reversal of 85953270 is 7235958.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21984 + ... + 25596.

It is an arithmetic number, because the mean of its divisors is an integer number (3529071).

Almost surely, 285953270 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85953270, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112930272).

85953270 is an abundant number, since it is smaller than the sum of its proper divisors (139907274).

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

85953270 is a wasteful number, since it uses less digits than its factorization.

85953270 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3697.

The product of its (nonzero) digits is 75600, while the sum is 39.

The square root of 85953270 is about 9271.0986403986. The cubic root of 85953270 is about 441.3205335221.

The spelling of 85953270 in words is "eighty-five million, nine hundred fifty-three thousand, two hundred seventy".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 61 65 78 122 130 183 195 305 366 390 610 793 915 1586 1830 2379 3613 3965 4758 7226 7930 10839 11895 18065 21678 23790 36130 46969 54195 93938 108390 140907 220393 234845 281814 440786 469690 661179 704535 1101965 1322358 1409070 2203930 2865109 3305895 5730218 6611790 8595327 14325545 17190654 28651090 42976635 85953270