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85603740 = 223519611231
BaseRepresentation
bin1010001101000…
…11010110011100
312222002010020220
411012203112130
5133403304430
612254441340
72056422405
oct506432634
9188063226
1085603740
11443593a2
1224803250
1314972c01
14b5249ac
1577ae110
hex51a359c

85603740 has 96 divisors (see below), whose sum is σ = 256650240. Its totient is φ = 21254400.

The previous prime is 85603733. The next prime is 85603747. The reversal of 85603740 is 4730658.

It is an interprime number because it is at equal distance from previous prime (85603733) and next prime (85603747).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85603747) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68925 + ... + 70155.

It is an arithmetic number, because the mean of its divisors is an integer number (2673440).

Almost surely, 285603740 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85603740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128325120).

85603740 is an abundant number, since it is smaller than the sum of its proper divisors (171046500).

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

85603740 is a wasteful number, since it uses less digits than its factorization.

85603740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1323 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 85603740 is about 9252.2289206439. The cubic root of 85603740 is about 440.7215090650.

The spelling of 85603740 in words is "eighty-five million, six hundred three thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 61 76 95 114 122 183 190 228 244 285 305 366 380 570 610 732 915 1140 1159 1220 1231 1830 2318 2462 3477 3660 3693 4636 4924 5795 6155 6954 7386 11590 12310 13908 14772 17385 18465 23180 23389 24620 34770 36930 46778 69540 70167 73860 75091 93556 116945 140334 150182 225273 233890 280668 300364 350835 375455 450546 467780 701670 750910 901092 1126365 1403340 1426729 1501820 2252730 2853458 4280187 4505460 5706916 7133645 8560374 14267290 17120748 21400935 28534580 42801870 85603740