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85440740 = 225711109509
BaseRepresentation
bin1010001011110…
…11100011100100
312221202211122212
411011323203210
5133333100430
612251142552
72055143240
oct505734344
9187684585
1085440740
1144257990
1224744a58
1314916968
14b4c1420
15777ab95
hex517b8e4

85440740 has 96 divisors (see below), whose sum is σ = 226195200. Its totient is φ = 26334720.

The previous prime is 85440737. The next prime is 85440749. The reversal of 85440740 is 4704458.

It is a junction number, because it is equal to n+sod(n) for n = 85440697 and 85440706.

It is not an unprimeable number, because it can be changed into a prime (85440749) 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, 167606 + ... + 168114.

It is an arithmetic number, because the mean of its divisors is an integer number (2356200).

Almost surely, 285440740 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85440740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113097600).

85440740 is an abundant number, since it is smaller than the sum of its proper divisors (140754460).

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

85440740 is a wasteful number, since it uses less digits than its factorization.

85440740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 32.

The square root of 85440740 is about 9243.4160352112. The cubic root of 85440740 is about 440.4416020962.

The spelling of 85440740 in words is "eighty-five million, four hundred forty thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 109 110 140 154 218 220 308 385 436 509 545 763 770 1018 1090 1199 1526 1540 2036 2180 2398 2545 3052 3563 3815 4796 5090 5599 5995 7126 7630 8393 10180 11198 11990 14252 15260 16786 17815 22396 23980 27995 33572 35630 39193 41965 55481 55990 71260 78386 83930 110962 111980 156772 167860 195965 221924 277405 388367 391930 554810 610291 776734 783860 1109620 1220582 1553468 1941835 2441164 3051455 3883670 4272037 6102910 7767340 8544074 12205820 17088148 21360185 42720370 85440740