Search a number
-
+
86701122 = 232172397127
BaseRepresentation
bin1010010101011…
…11010001000010
320001010212120200
411022233101002
5134143413442
612334150030
72101642644
oct512572102
9201125520
1086701122
1144a38922
1225052316
1314c68551
14b72c894
15792934c
hex52af442

86701122 has 96 divisors (see below), whose sum is σ = 211341312. Its totient is φ = 25546752.

The previous prime is 86701117. The next prime is 86701129. The reversal of 86701122 is 22110768.

It is not an unprimeable number, because it can be changed into a prime (86701129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 682623 + ... + 682749.

It is an arithmetic number, because the mean of its divisors is an integer number (2201472).

Almost surely, 286701122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86701122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105670656).

86701122 is an abundant number, since it is smaller than the sum of its proper divisors (124640190).

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

86701122 is a wasteful number, since it uses less digits than its factorization.

86701122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 86701122 is about 9311.3437268742. The cubic root of 86701122 is about 442.5967690307.

The spelling of 86701122 in words is "eighty-six million, seven hundred one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 17 18 23 34 46 51 69 97 102 127 138 153 194 207 254 291 306 381 391 414 582 762 782 873 1143 1173 1649 1746 2159 2231 2286 2346 2921 3298 3519 4318 4462 4947 5842 6477 6693 7038 8763 9894 12319 12954 13386 14841 17526 19431 20079 24638 26289 29682 36957 37927 38862 40158 49657 52578 73914 75854 99314 110871 113781 148971 209423 221742 227562 283337 297942 341343 418846 446913 566674 628269 682686 850011 893826 1256538 1700022 1884807 2550033 3769614 4816729 5100066 9633458 14450187 28900374 43350561 86701122