Search a number
-
+
8010252 = 22364167
BaseRepresentation
bin11110100011101000001100
3120001222000000
4132203220030
54022312002
6443404300
7125041335
oct36435014
916058000
108010252
114581248
122823690
131875cc3
1410c728c
15a8361c
hex7a3a0c

8010252 has 84 divisors (see below), whose sum is σ = 21851256. Its totient is φ = 2566080.

The previous prime is 8010251. The next prime is 8010263. The reversal of 8010252 is 2520108.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (8010251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 119523 + ... + 119589.

It is an arithmetic number, because the mean of its divisors is an integer number (260134).

Almost surely, 28010252 is an apocalyptic number.

8010252 is a gapful number since it is divisible by the number (82) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8010252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10925628).

8010252 is an abundant number, since it is smaller than the sum of its proper divisors (13841004).

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

8010252 is a wasteful number, since it uses less digits than its factorization.

8010252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 8010252 is about 2830.2388591778. The cubic root of 8010252 is about 200.0853968650.

The spelling of 8010252 in words is "eight million, ten thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 67 81 82 108 123 134 162 164 201 243 246 268 324 369 402 486 492 603 729 738 804 972 1107 1206 1458 1476 1809 2214 2412 2747 2916 3321 3618 4428 5427 5494 6642 7236 8241 9963 10854 10988 13284 16281 16482 19926 21708 24723 29889 32562 32964 39852 48843 49446 59778 65124 74169 97686 98892 119556 148338 195372 222507 296676 445014 667521 890028 1335042 2002563 2670084 4005126 8010252