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2142756 = 2232711773
BaseRepresentation
bin1000001011001000100100
311000212022100
420023020210
51022032011
6113532100
724133050
oct10131044
94025270
102142756
111233980
12874030
135a0405
143dac60
152c4d56
hex20b224

2142756 has 72 divisors (see below), whose sum is σ = 6761664. Its totient is φ = 555840.

The previous prime is 2142743. The next prime is 2142761. The reversal of 2142756 is 6572412.

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, 2386 + ... + 3158.

It is an arithmetic number, because the mean of its divisors is an integer number (93912).

22142756 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 2142756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3380832).

2142756 is an abundant number, since it is smaller than the sum of its proper divisors (4618908).

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

2142756 is a wasteful number, since it uses less digits than its factorization.

2142756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 796 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 2142756 is about 1463.8155621526. The cubic root of 2142756 is about 128.9211705154.

The spelling of 2142756 in words is "two million, one hundred forty-two thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 773 924 1386 1546 2319 2772 3092 4638 5411 6957 8503 9276 10822 13914 16233 17006 21644 25509 27828 32466 34012 48699 51018 59521 64932 76527 97398 102036 119042 153054 178563 194796 238084 306108 357126 535689 714252 1071378 2142756