Search a number
-
+
86423520 = 2535401449
BaseRepresentation
bin1010010011010…
…11011111100000
320000121202210010
411021223133200
5134111023040
612324204520
72066405421
oct511533740
9200552703
1086423520
11448692a7
1224b39740
1314b9c0a1
14b699648
1578c1e80
hex526b7e0

86423520 has 96 divisors (see below), whose sum is σ = 273520800. Its totient is φ = 22937600.

The previous prime is 86423497. The next prime is 86423521. The reversal of 86423520 is 2532468.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86423521) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 192256 + ... + 192704.

It is an arithmetic number, because the mean of its divisors is an integer number (2849175).

Almost surely, 286423520 is an apocalyptic number.

86423520 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86423520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136760400).

86423520 is an abundant number, since it is smaller than the sum of its proper divisors (187097280).

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

86423520 is a wasteful number, since it uses less digits than its factorization.

86423520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 868 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 86423520 is about 9296.4251193671. The cubic root of 86423520 is about 442.1238912070.

Adding to 86423520 its reverse (2532468), we get a palindrome (88955988).

The spelling of 86423520 in words is "eighty-six million, four hundred twenty-three thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 401 449 480 802 898 1203 1347 1604 1796 2005 2245 2406 2694 3208 3592 4010 4490 4812 5388 6015 6416 6735 7184 8020 8980 9624 10776 12030 12832 13470 14368 16040 17960 19248 21552 24060 26940 32080 35920 38496 43104 48120 53880 64160 71840 96240 107760 180049 192480 215520 360098 540147 720196 900245 1080294 1440392 1800490 2160588 2700735 2880784 3600980 4321176 5401470 5761568 7201960 8642352 10802940 14403920 17284704 21605880 28807840 43211760 86423520