Search a number
-
+
8210136 = 23311137227
BaseRepresentation
bin11111010100011011011000
3120110010012010
4133110123120
54100211021
6451545520
7126533154
oct37243330
916403163
108210136
1146a8440
1228bb2a0
131915c8c
14113a064
15ac2976
hex7d46d8

8210136 has 64 divisors (see below), whose sum is σ = 22654080. Its totient is φ = 2458880.

The previous prime is 8210131. The next prime is 8210141. The reversal of 8210136 is 6310128.

It is an interprime number because it is at equal distance from previous prime (8210131) and next prime (8210141).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8210131) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 36055 + ... + 36281.

It is an arithmetic number, because the mean of its divisors is an integer number (353970).

Almost surely, 28210136 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 8210136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11327040).

8210136 is an abundant number, since it is smaller than the sum of its proper divisors (14443944).

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

8210136 is a wasteful number, since it uses less digits than its factorization.

8210136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 8210136 is about 2865.3334884442. Note that the first 3 decimals coincide. The cubic root of 8210136 is about 201.7360208910.

The spelling of 8210136 in words is "eight million, two hundred ten thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 137 227 264 274 411 454 548 681 822 908 1096 1362 1507 1644 1816 2497 2724 3014 3288 4521 4994 5448 6028 7491 9042 9988 12056 14982 18084 19976 29964 31099 36168 59928 62198 93297 124396 186594 248792 342089 373188 684178 746376 1026267 1368356 2052534 2736712 4105068 8210136