Search a number
-
+
8000132 = 227617
BaseRepresentation
bin11110100001001010000100
3120001110010012
4132201022010
54022001012
6443245352
7125000000
oct36411204
916043105
108000132
114574688
122819858
13187150a
1410c3700
15a80622
hex7a1284

8000132 has 42 divisors (see below), whose sum is σ = 17294382. Its totient is φ = 3226944.

The previous prime is 8000119. The next prime is 8000141. The reversal of 8000132 is 2310008.

It can be written as a sum of positive squares in only one way, i.e., 7529536 + 470596 = 2744^2 + 686^2 .

It is a super-2 number, since 2×80001322 = 128004224034848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

8000132 is a modest number, since divided by 132 gives 8 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 470588 + ... + 470604.

It is an arithmetic number, because the mean of its divisors is an integer number (411771).

Almost surely, 28000132 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 8000132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8647191).

8000132 is an abundant number, since it is smaller than the sum of its proper divisors (9294250).

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

8000132 is an frugal number, since it uses more digits than its factorization.

8000132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 8000132 is about 2828.4504591737. The cubic root of 8000132 is about 200.0010999940.

The spelling of 8000132 in words is "eight million, one hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 4 7 14 17 28 34 49 68 98 119 196 238 343 476 686 833 1372 1666 2401 3332 4802 5831 9604 11662 16807 23324 33614 40817 67228 81634 117649 163268 235298 285719 470596 571438 1142876 2000033 4000066 8000132