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85385040 = 24351327367
BaseRepresentation
bin1010001011011…
…01111101010000
312221200000020220
411011231331100
5133324310130
612250033040
72054521656
oct505557520
9187600226
1085385040
114421a054
1224718780
13148c74c0
14b4a8dd6
157769410
hex516df50

85385040 has 80 divisors (see below), whose sum is σ = 285065088. Its totient is φ = 21017088.

The previous prime is 85385029. The next prime is 85385051. The reversal of 85385040 is 4058358.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (85385029) and next prime (85385051).

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

It is a junction number, because it is equal to n+sod(n) for n = 85384992 and 85385010.

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, 10564 + ... + 16803.

Almost surely, 285385040 is an apocalyptic number.

85385040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

85385040 is an abundant number, since it is smaller than the sum of its proper divisors (199680048).

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

85385040 is a wasteful number, since it uses less digits than its factorization.

85385040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27396 (or 27390 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 33.

The square root of 85385040 is about 9240.4025886322. The cubic root of 85385040 is about 440.3458713000.

The spelling of 85385040 in words is "eighty-five million, three hundred eighty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 27367 54734 82101 109468 136835 164202 218936 273670 328404 355771 410505 437872 547340 656808 711542 821010 1067313 1094680 1313616 1423084 1642020 1778855 2134626 2189360 2846168 3284040 3557710 4269252 5336565 5692336 6568080 7115420 8538504 10673130 14230840 17077008 21346260 28461680 42692520 85385040