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2142636 = 2232947131
BaseRepresentation
bin1000001011000110101100
311000212010220
420023012230
51022031021
6113531340
724132516
oct10130654
94025126
102142636
111233881
12873b50
135a0342
143dabb6
152c4cc6
hex20b1ac

2142636 has 48 divisors (see below), whose sum is σ = 5322240. Its totient is φ = 669760.

The previous prime is 2142601. The next prime is 2142641. The reversal of 2142636 is 6362412.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16291 + ... + 16421.

It is an arithmetic number, because the mean of its divisors is an integer number (110880).

22142636 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 2142636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2661120).

2142636 is an abundant number, since it is smaller than the sum of its proper divisors (3179604).

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

2142636 is a wasteful number, since it uses less digits than its factorization.

2142636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 212 counting only the distinct ones).

The product of its digits is 1728, while the sum is 24.

The square root of 2142636 is about 1463.7745728083. The cubic root of 2142636 is about 128.9187638283.

It can be divided in two parts, 214 and 2636, that added together give a triangular number (2850 = T75).

The spelling of 2142636 in words is "two million, one hundred forty-two thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 12 29 47 58 87 94 116 131 141 174 188 262 282 348 393 524 564 786 1363 1572 2726 3799 4089 5452 6157 7598 8178 11397 12314 15196 16356 18471 22794 24628 36942 45588 73884 178553 357106 535659 714212 1071318 2142636