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2140524 = 2232371607
BaseRepresentation
bin1000001010100101101100
311000202020200
420022211230
51021444044
6113513500
724123411
oct10124554
94022220
102140524
111232231
12872890
1359c3a9
143da108
152c4369
hex20a96c

2140524 has 36 divisors (see below), whose sum is σ = 5560464. Its totient is φ = 693792.

The previous prime is 2140517. The next prime is 2140531. The reversal of 2140524 is 4250412.

2140524 is a `hidden beast` number, since 2 + 140 + 524 = 666.

It is an interprime number because it is at equal distance from previous prime (2140517) and next prime (2140531).

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 junction number, because it is equal to n+sod(n) for n = 2140497 and 2140506.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 529 + ... + 2135.

22140524 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 2140524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2780232).

2140524 is an abundant number, since it is smaller than the sum of its proper divisors (3419940).

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

2140524 is a wasteful number, since it uses less digits than its factorization.

2140524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1654 (or 1649 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 2140524 is about 1463.0529723834. The cubic root of 2140524 is about 128.8763914205.

Adding to 2140524 its reverse (4250412), we get a palindrome (6390936).

The spelling of 2140524 in words is "two million, one hundred forty thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 1607 3214 4821 6428 9642 14463 19284 28926 57852 59459 118918 178377 237836 356754 535131 713508 1070262 2140524