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2131052 = 2271121737
BaseRepresentation
bin1000001000010001101100
311000021020212
420020101230
51021143202
6113401552
724053660
oct10102154
94007225
102131052
111226100
128692b8
13597ca1
143d68a0
152c1652
hex20846c

2131052 has 72 divisors (see below), whose sum is σ = 5094432. Its totient is φ = 760320.

The previous prime is 2131049. The next prime is 2131081. The reversal of 2131052 is 2501312.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57578 + ... + 57614.

It is an arithmetic number, because the mean of its divisors is an integer number (70756).

22131052 is an apocalyptic number.

2131052 is a gapful number since it is divisible by the number (22) 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 2131052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2547216).

2131052 is an abundant number, since it is smaller than the sum of its proper divisors (2963380).

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

2131052 is a wasteful number, since it uses less digits than its factorization.

2131052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 2131052 is about 1459.8123167038. The cubic root of 2131052 is about 128.6860140158.

Adding to 2131052 its reverse (2501312), we get a palindrome (4632364).

The spelling of 2131052 in words is "two million, one hundred thirty-one thousand, fifty-two".

Divisors: 1 2 4 7 11 14 17 22 28 34 37 44 68 74 77 119 121 148 154 187 238 242 259 308 374 407 476 484 518 629 748 814 847 1036 1258 1309 1628 1694 2057 2516 2618 2849 3388 4114 4403 4477 5236 5698 6919 8228 8806 8954 11396 13838 14399 17612 17908 27676 28798 31339 48433 57596 62678 76109 96866 125356 152218 193732 304436 532763 1065526 2131052