Search a number
-
+
8132124 = 22371113677
BaseRepresentation
bin11111000001011000011100
3120022011011210
4133001120130
54040211444
6450144420
7126056550
oct37013034
916264153
108132124
114654870
122882110
1318b9610
141119860
15aa97b9
hex7c161c

8132124 has 96 divisors (see below), whose sum is σ = 25514496. Its totient is φ = 1946880.

The previous prime is 8132101. The next prime is 8132177. The reversal of 8132124 is 4212318.

It is a super-2 number, since 2×81321242 = 132262881502752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 8132124.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 11674 + ... + 12350.

It is an arithmetic number, because the mean of its divisors is an integer number (265776).

Almost surely, 28132124 is an apocalyptic number.

8132124 is a gapful number since it is divisible by the number (84) 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 8132124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12757248).

8132124 is an abundant number, since it is smaller than the sum of its proper divisors (17382372).

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

8132124 is a wasteful number, since it uses less digits than its factorization.

8132124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 713 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 8132124 is about 2851.6879212144. The cubic root of 8132124 is about 201.0950269711.

It can be divided in two parts, 8132 and 124, that added together give a triangular number (8256 = T128).

The spelling of 8132124 in words is "eight million, one hundred thirty-two thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 7 11 12 13 14 21 22 26 28 33 39 42 44 52 66 77 78 84 91 132 143 154 156 182 231 273 286 308 364 429 462 546 572 677 858 924 1001 1092 1354 1716 2002 2031 2708 3003 4004 4062 4739 6006 7447 8124 8801 9478 12012 14217 14894 17602 18956 22341 26403 28434 29788 35204 44682 52129 52806 56868 61607 89364 96811 104258 105612 123214 156387 184821 193622 208516 246428 290433 312774 369642 387244 580866 625548 677677 739284 1161732 1355354 2033031 2710708 4066062 8132124