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85359740 = 2253137612
BaseRepresentation
bin1010001011001…
…11110001111100
312221121201112212
411011213301330
5133323002430
612245315552
72054355134
oct505476174
9187551485
1085359740
1144202044
1224705bb8
13148b8b2b
14b49dac4
157761b95
hex5167c7c

85359740 has 72 divisors (see below), whose sum is σ = 193205376. Its totient is φ = 31622400.

The previous prime is 85359713. The next prime is 85359749. The reversal of 85359740 is 4795358.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85359749) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1399310 + ... + 1399370.

It is an arithmetic number, because the mean of its divisors is an integer number (2683408).

Almost surely, 285359740 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 85359740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96602688).

85359740 is an abundant number, since it is smaller than the sum of its proper divisors (107845636).

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

85359740 is a wasteful number, since it uses less digits than its factorization.

85359740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 41.

The square root of 85359740 is about 9239.0334992357. The cubic root of 85359740 is about 440.3023748004.

The spelling of 85359740 in words is "eighty-five million, three hundred fifty-nine thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 31 37 61 62 74 122 124 148 155 185 244 305 310 370 610 620 740 1147 1220 1891 2257 2294 3721 3782 4514 4588 5735 7442 7564 9028 9455 11285 11470 14884 18605 18910 22570 22940 37210 37820 45140 69967 74420 115351 137677 139934 230702 275354 279868 349835 461404 550708 576755 688385 699670 1153510 1376770 1399340 2307020 2753540 4267987 8535974 17071948 21339935 42679870 85359740