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85325040 = 24325176971
BaseRepresentation
bin1010001010111…
…11010011110000
312221112221221200
411011133103300
5133320400130
612244451200
72054152023
oct505372360
9187487850
1085325040
1144188a69
12246a9b00
13148a60b8
14b4911ba
157756760
hex515f4f0

85325040 has 120 divisors (see below), whose sum is σ = 303449328. Its totient is φ = 21411840.

The previous prime is 85325039. The next prime is 85325063. The reversal of 85325040 is 4052358.

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 85324995 and 85325013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8755 + ... + 15725.

Almost surely, 285325040 is an apocalyptic number.

85325040 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 85325040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151724664).

85325040 is an abundant number, since it is smaller than the sum of its proper divisors (218124288).

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

85325040 is a wasteful number, since it uses less digits than its factorization.

85325040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7007 (or 6998 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 85325040 is about 9237.1554062926. The cubic root of 85325040 is about 440.2427035659.

Adding to 85325040 its reverse (4052358), we get a palindrome (89377398).

The spelling of 85325040 in words is "eighty-five million, three hundred twenty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 34 36 40 45 48 51 60 68 72 80 85 90 102 120 136 144 153 170 180 204 240 255 272 306 340 360 408 510 612 680 720 765 816 1020 1224 1360 1530 2040 2448 3060 4080 6120 6971 12240 13942 20913 27884 34855 41826 55768 62739 69710 83652 104565 111536 118507 125478 139420 167304 209130 237014 250956 278840 313695 334608 355521 418260 474028 501912 557680 592535 627390 711042 836520 948056 1003824 1066563 1185070 1254780 1422084 1673040 1777605 1896112 2133126 2370140 2509560 2844168 3555210 4266252 4740280 5019120 5332815 5688336 7110420 8532504 9480560 10665630 14220840 17065008 21331260 28441680 42662520 85325040