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2135124 = 2232127467
BaseRepresentation
bin1000001001010001010100
311000110211200
420021101110
51021310444
6113432500
724101565
oct10112124
94013750
102135124
111229172
1286b730
13599ab4
143d816c
152c2969
hex209454

2135124 has 36 divisors (see below), whose sum is σ = 5451264. Its totient is φ = 704592.

The previous prime is 2135117. The next prime is 2135141. The reversal of 2135124 is 4215312.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a d-powerful number, because it can be written as 2 + 1 + 313 + 53 + 1 + 219 + 47 .

It is a junction number, because it is equal to n+sod(n) for n = 2135097 and 2135106.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 4339 + ... + 4805.

It is an arithmetic number, because the mean of its divisors is an integer number (151424).

22135124 is an apocalyptic number.

It is an amenable number.

2135124 is an abundant number, since it is smaller than the sum of its proper divisors (3316140).

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

2135124 is a wasteful number, since it uses less digits than its factorization.

2135124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 599 counting only the distinct ones).

The product of its digits is 240, while the sum is 18.

The square root of 2135124 is about 1461.2063509306. The cubic root of 2135124 is about 128.7679259924.

The spelling of 2135124 in words is "two million, one hundred thirty-five thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 127 254 381 467 508 762 934 1143 1401 1524 1868 2286 2802 4203 4572 5604 8406 16812 59309 118618 177927 237236 355854 533781 711708 1067562 2135124