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2123832 = 23388493
BaseRepresentation
bin1000000110100000111000
310222220100110
420012200320
51020430312
6113304320
724023634
oct10064070
93886313
102123832
111220737
128650a0
13594909
143d3dc4
152be43c
hex206838

2123832 has 16 divisors (see below), whose sum is σ = 5309640. Its totient is φ = 707936.

The previous prime is 2123831. The next prime is 2123851. The reversal of 2123832 is 2383212.

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 a junction number, because it is equal to n+sod(n) for n = 2123799 and 2123808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2123831) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 44223 + ... + 44270.

22123832 is an apocalyptic number.

It is an amenable number.

2123832 is an abundant number, since it is smaller than the sum of its proper divisors (3185808).

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

2123832 is a wasteful number, since it uses less digits than its factorization.

2123832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88502 (or 88498 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 2123832 is about 1457.3372979513. The cubic root of 2123832 is about 128.5405202599.

The spelling of 2123832 in words is "two million, one hundred twenty-three thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 88493 176986 265479 353972 530958 707944 1061916 2123832