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2142520 = 235291847
BaseRepresentation
bin1000001011000100111000
311000211222121
420023010320
51022030040
6113531024
724132262
oct10130470
94024877
102142520
111233786
12873a74
135a0283
143dab32
152c4c4a
hex20b138

2142520 has 32 divisors (see below), whose sum is σ = 4989600. Its totient is φ = 827008.

The previous prime is 2142499. The next prime is 2142521. The reversal of 2142520 is 252412.

It is a junction number, because it is equal to n+sod(n) for n = 2142494 and 2142503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142521) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 237 + ... + 2083.

It is an arithmetic number, because the mean of its divisors is an integer number (155925).

22142520 is an apocalyptic number.

2142520 is a gapful number since it is divisible by the number (20) 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 2142520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2494800).

2142520 is an abundant number, since it is smaller than the sum of its proper divisors (2847080).

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

2142520 is a wasteful number, since it uses less digits than its factorization.

2142520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1887 (or 1883 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 2142520 is about 1463.7349486844. The cubic root of 2142520 is about 128.9164372788.

Adding to 2142520 its reverse (252412), we get a palindrome (2394932).

It can be divided in two parts, 2142 and 520, that added together give a palindrome (2662).

The spelling of 2142520 in words is "two million, one hundred forty-two thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 1847 3694 7388 9235 14776 18470 36940 53563 73880 107126 214252 267815 428504 535630 1071260 2142520