Search a number
-
+
87620136 = 23329312131
BaseRepresentation
bin1010011100011…
…11101000101000
320002212120020020
411032033220220
5134412321021
612410000440
72112521202
oct516175050
9202776206
1087620136
114550633a
1225416120
13151ca946
14b8cb772
157a5b7c6
hex538fa28

87620136 has 96 divisors (see below), whose sum is σ = 235936800. Its totient is φ = 27081600.

The previous prime is 87620123. The next prime is 87620147. The reversal of 87620136 is 63102678.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 87620097 and 87620106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 668791 + ... + 668921.

It is an arithmetic number, because the mean of its divisors is an integer number (2457675).

Almost surely, 287620136 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 87620136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117968400).

87620136 is an abundant number, since it is smaller than the sum of its proper divisors (148316664).

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

87620136 is a wasteful number, since it uses less digits than its factorization.

87620136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 87620136 is about 9360.5628035925. The cubic root of 87620136 is about 444.1550874504.

It can be divided in two parts, 876 and 20136, that added together give a palindrome (21012).

The spelling of 87620136 in words is "eighty-seven million, six hundred twenty thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 24 29 31 58 62 87 93 116 124 131 174 186 232 248 262 348 372 393 524 696 744 786 899 961 1048 1572 1798 1922 2697 2883 3144 3596 3799 3844 4061 5394 5766 7192 7598 7688 8122 10788 11397 11532 12183 15196 16244 21576 22794 23064 24366 27869 30392 32488 45588 48732 55738 83607 91176 97464 111476 117769 125891 167214 222952 235538 251782 334428 353307 377673 471076 503564 668856 706614 755346 942152 1007128 1413228 1510692 2826456 3021384 3650839 7301678 10952517 14603356 21905034 29206712 43810068 87620136