Search a number
-
+
85699440 = 24325119027
BaseRepresentation
bin1010001101110…
…10101101110000
312222020222112100
411012322231300
5133414340230
612300500400
72060301411
oct506725560
9188228470
1085699440
1144414292
122484a700
13149a7638
14b54b808
1577cc660
hex51bab70

85699440 has 60 divisors (see below), whose sum is σ = 287809704. Its totient is φ = 22852992.

The previous prime is 85699433. The next prime is 85699441. The reversal of 85699440 is 4499658.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85699441) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58794 + ... + 60233.

Almost surely, 285699440 is an apocalyptic number.

85699440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85699440 is an abundant number, since it is smaller than the sum of its proper divisors (202110264).

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

85699440 is a wasteful number, since it uses less digits than its factorization.

85699440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119046 (or 119037 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 85699440 is about 9257.3992027999. The cubic root of 85699440 is about 440.8856815689.

The spelling of 85699440 in words is "eighty-five million, six hundred ninety-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 119027 238054 357081 476108 595135 714162 952216 1071243 1190270 1428324 1785405 1904432 2142486 2380540 2856648 3570810 4284972 4761080 5356215 5713296 7141620 8569944 9522160 10712430 14283240 17139888 21424860 28566480 42849720 85699440