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85730036 = 2273783997
BaseRepresentation
bin1010001110000…
…10001011110100
312222022112111112
411013002023310
5133421330121
612301254152
72060456540
oct507021364
9188275445
1085730036
1144435277
1224864358
13149b8542
14b558a20
1577d675b
hex51c22f4

85730036 has 48 divisors (see below), whose sum is σ = 178394496. Its totient is φ = 35282304.

The previous prime is 85730027. The next prime is 85730041. The reversal of 85730036 is 63003758.

It is a happy number.

It is a super-2 number, since 2×857300362 = 14699278145122592, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 85729984 and 85730011.

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, 85490 + ... + 86486.

It is an arithmetic number, because the mean of its divisors is an integer number (3716552).

Almost surely, 285730036 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 85730036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89197248).

85730036 is an abundant number, since it is smaller than the sum of its proper divisors (92664460).

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

85730036 is a wasteful number, since it uses less digits than its factorization.

85730036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 85730036 is about 9259.0515713004. The cubic root of 85730036 is about 440.9381429515.

The spelling of 85730036 in words is "eighty-five million, seven hundred thirty thousand, thirty-six".

Divisors: 1 2 4 7 14 28 37 74 83 148 166 259 332 518 581 997 1036 1162 1994 2324 3071 3988 6142 6979 12284 13958 21497 27916 36889 42994 73778 82751 85988 147556 165502 258223 331004 516446 579257 1032892 1158514 2317028 3061787 6123574 12247148 21432509 42865018 85730036