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2141232 = 243311439
BaseRepresentation
bin1000001010110000110000
311000210012220
420022300300
51022004412
6113521040
724125442
oct10126060
94023186
102141232
111232815
12873180
1359c802
143da492
152c468c
hex20ac30

2141232 has 40 divisors (see below), whose sum is σ = 5713920. Its totient is φ = 690240.

The previous prime is 2141219. The next prime is 2141257. The reversal of 2141232 is 2321412.

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

It is an alternating number because its digits alternate between even and odd.

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 7 ways as a sum of consecutive naturals, for example, 769 + ... + 2207.

It is an arithmetic number, because the mean of its divisors is an integer number (142848).

22141232 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 2141232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2856960).

2141232 is an abundant number, since it is smaller than the sum of its proper divisors (3572688).

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

2141232 is a wasteful number, since it uses less digits than its factorization.

2141232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1481 (or 1475 counting only the distinct ones).

The product of its digits is 96, while the sum is 15.

The square root of 2141232 is about 1463.2949121759. The cubic root of 2141232 is about 128.8905989116.

Adding to 2141232 its reverse (2321412), we get a palindrome (4462644).

The spelling of 2141232 in words is "two million, one hundred forty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 1439 1488 2878 4317 5756 8634 11512 17268 23024 34536 44609 69072 89218 133827 178436 267654 356872 535308 713744 1070616 2141232