Search a number
-
+
86281440 = 2535725679
BaseRepresentation
bin1010010010010…
…00110011100000
320000100112212220
411021020303200
5134042001230
612321151040
72065244250
oct511106340
9200315786
1086281440
1144781583
1224a8b480
1314b4c50b
14b65d960
157894d10
hex5248ce0

86281440 has 96 divisors (see below), whose sum is σ = 310625280. Its totient is φ = 19720704.

The previous prime is 86281421. The next prime is 86281471. The reversal of 86281440 is 4418268.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9480 + ... + 16199.

It is an arithmetic number, because the mean of its divisors is an integer number (3235680).

Almost surely, 286281440 is an apocalyptic number.

86281440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86281440 is an abundant number, since it is smaller than the sum of its proper divisors (224343840).

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

86281440 is a wasteful number, since it uses less digits than its factorization.

86281440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25704 (or 25696 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 86281440 is about 9288.7803289775. The cubic root of 86281440 is about 441.8814748772.

The spelling of 86281440 in words is "eighty-six million, two hundred eighty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 420 480 560 672 840 1120 1680 3360 25679 51358 77037 102716 128395 154074 179753 205432 256790 308148 359506 385185 410864 513580 539259 616296 719012 770370 821728 898765 1027160 1078518 1232592 1438024 1540740 1797530 2054320 2157036 2465184 2696295 2876048 3081480 3595060 4108640 4314072 5392590 5752096 6162960 7190120 8628144 10785180 12325920 14380240 17256288 21570360 28760480 43140720 86281440