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85323136 = 2717113347
BaseRepresentation
bin1010001010111…
…10110110000000
312221112212100011
411011132312000
5133320320021
612244434304
72054143333
oct505366600
9187485304
1085323136
1144187598
12246a8994
13148a5282
14b49061a
157755de1
hex515ed80

85323136 has 64 divisors (see below), whose sum is σ = 182094480. Its totient is φ = 39682048.

The previous prime is 85323113. The next prime is 85323149. The reversal of 85323136 is 63132358.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 85323098 and 85323107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 245715 + ... + 246061.

Almost surely, 285323136 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 85323136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91047240).

85323136 is an abundant number, since it is smaller than the sum of its proper divisors (96771344).

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

85323136 is a wasteful number, since it uses less digits than its factorization.

85323136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 491 (or 479 counting only the distinct ones).

The product of its digits is 12960, while the sum is 31.

The square root of 85323136 is about 9237.0523436863. The cubic root of 85323136 is about 440.2394289182.

The spelling of 85323136 in words is "eighty-five million, three hundred twenty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 113 128 136 226 272 347 452 544 694 904 1088 1388 1808 1921 2176 2776 3616 3842 5552 5899 7232 7684 11104 11798 14464 15368 22208 23596 30736 39211 44416 47192 61472 78422 94384 122944 156844 188768 245888 313688 377536 627376 666587 755072 1254752 1333174 2509504 2666348 5019008 5332696 10665392 21330784 42661568 85323136