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85503040 = 265731941
BaseRepresentation
bin1010001100010…
…10110001000000
312221220000010021
411012022301000
5133342044130
612252343224
72055523000
oct506126100
9187800107
1085503040
114429a777
1224774b14
131493911c
14b4da000
15778e37a
hex518ac40

85503040 has 224 divisors, whose sum is σ = 256032000. Its totient is φ = 27095040.

The previous prime is 85503037. The next prime is 85503071. The reversal of 85503040 is 4030558.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 85502996 and 85503014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2085420 + ... + 2085460.

It is an arithmetic number, because the mean of its divisors is an integer number (1143000).

Almost surely, 285503040 is an apocalyptic number.

85503040 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 85503040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128016000).

85503040 is an abundant number, since it is smaller than the sum of its proper divisors (170528960).

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

85503040 is a wasteful number, since it uses less digits than its factorization.

85503040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 85503040 is about 9246.7853873657. The cubic root of 85503040 is about 440.5486269388.

Adding to 85503040 its reverse (4030558), we get a palindrome (89533598).

The spelling of 85503040 in words is "eighty-five million, five hundred three thousand, forty".