[go: up one dir, main page]

Search a number
-
+
85660992 = 26321271171
BaseRepresentation
bin1010001101100…
…01010101000000
312222012000210100
411012301111000
5133412122432
612300002400
72060051334
oct506612500
9188160710
1085660992
114439840a
1224830400
1314992ca1
14b53b7c4
1577c107c
hex51b1540

85660992 has 84 divisors (see below), whose sum is σ = 247676416. Its totient is φ = 28304640.

The previous prime is 85660969. The next prime is 85660997. The reversal of 85660992 is 29906658.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85660997) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72567 + ... + 73737.

Almost surely, 285660992 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 85660992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123838208).

85660992 is an abundant number, since it is smaller than the sum of its proper divisors (162015424).

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

85660992 is a wasteful number, since it uses less digits than its factorization.

85660992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316 (or 1303 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 85660992 is about 9255.3223606744. The cubic root of 85660992 is about 440.8197390598.

The spelling of 85660992 in words is "eighty-five million, six hundred sixty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 127 144 192 254 288 381 508 576 762 1016 1143 1171 1524 2032 2286 2342 3048 3513 4064 4572 4684 6096 7026 8128 9144 9368 10539 12192 14052 18288 18736 21078 24384 28104 36576 37472 42156 56208 73152 74944 84312 112416 148717 168624 224832 297434 337248 446151 594868 674496 892302 1189736 1338453 1784604 2379472 2676906 3569208 4758944 5353812 7138416 9517888 10707624 14276832 21415248 28553664 42830496 85660992