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85500240 = 2435750893
BaseRepresentation
bin1010001100010…
…10000101010000
312221212212021120
411012022011100
5133342001430
612252322240
72055511560
oct506120520
9187785246
1085500240
1144298661
1224773380
1314937a77
14b4d8da0
15778d610
hex518a150

85500240 has 80 divisors (see below), whose sum is σ = 302921088. Its totient is φ = 19542528.

The previous prime is 85500227. The next prime is 85500251. The reversal of 85500240 is 4200558.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 85500240.

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, 23767 + ... + 27126.

Almost surely, 285500240 is an apocalyptic number.

85500240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85500240 is an abundant number, since it is smaller than the sum of its proper divisors (217420848).

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

85500240 is a wasteful number, since it uses less digits than its factorization.

85500240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50916 (or 50910 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 85500240 is about 9246.6339821580. The cubic root of 85500240 is about 440.5438179495.

Adding to 85500240 its reverse (4200558), we get a palindrome (89700798).

The spelling of 85500240 in words is "eighty-five million, five hundred thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 50893 101786 152679 203572 254465 305358 356251 407144 508930 610716 712502 763395 814288 1017860 1068753 1221432 1425004 1526790 1781255 2035720 2137506 2442864 2850008 3053580 3562510 4071440 4275012 5343765 5700016 6107160 7125020 8550024 10687530 12214320 14250040 17100048 21375060 28500080 42750120 85500240