Search a number
-
+
86345754 = 231117411877
BaseRepresentation
bin1010010010110…
…00100000011010
320000110211002220
411021120200122
5134101031004
612322404510
72065632615
oct511304032
9200424086
1086345754
1144815930
1224b00736
1314b72881
14b67917c
1578a8dd9
hex525881a

86345754 has 64 divisors (see below), whose sum is σ = 204446592. Its totient is φ = 24012800.

The previous prime is 86345723. The next prime is 86345759. The reversal of 86345754 is 45754368.

It is not an unprimeable number, because it can be changed into a prime (86345759) 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, 45064 + ... + 46940.

It is an arithmetic number, because the mean of its divisors is an integer number (3194478).

Almost surely, 286345754 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86345754, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102223296).

86345754 is an abundant number, since it is smaller than the sum of its proper divisors (118100838).

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

86345754 is a wasteful number, since it uses less digits than its factorization.

86345754 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1951.

The product of its digits is 403200, while the sum is 42.

The square root of 86345754 is about 9292.2416025413. The cubic root of 86345754 is about 441.9912401095.

The spelling of 86345754 in words is "eighty-six million, three hundred forty-five thousand, seven hundred fifty-four".

Divisors: 1 2 3 6 11 17 22 33 34 41 51 66 82 102 123 187 246 374 451 561 697 902 1122 1353 1394 1877 2091 2706 3754 4182 5631 7667 11262 15334 20647 23001 31909 41294 46002 61941 63818 76957 95727 123882 153914 191454 230871 350999 461742 701998 846527 1052997 1308269 1693054 2105994 2539581 2616538 3924807 5079162 7849614 14390959 28781918 43172877 86345754