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1220832 = 2535157
BaseRepresentation
bin100101010000011100000
32022000200000
410222003200
5303031312
642100000
713243164
oct4520340
92260600
101220832
11764258
124aa600
133398b2
1423aca4
15191adc
hex12a0e0

1220832 has 72 divisors (see below), whose sum is σ = 3623256. Its totient is φ = 404352.

The previous prime is 1220819. The next prime is 1220833. The reversal of 1220832 is 2380221.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220833) 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 11 ways as a sum of consecutive naturals, for example, 7698 + ... + 7854.

It is an arithmetic number, because the mean of its divisors is an integer number (50323).

21220832 is an apocalyptic number.

1220832 is a gapful number since it is divisible by the number (12) 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 1220832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1811628).

1220832 is an abundant number, since it is smaller than the sum of its proper divisors (2402424).

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

1220832 is an equidigital number, since it uses as much as digits as its factorization.

1220832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1220832 is about 1104.9126662320. The cubic root of 1220832 is about 106.8772575700.

The spelling of 1220832 in words is "one million, two hundred twenty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 157 162 216 243 288 314 324 432 471 486 628 648 864 942 972 1256 1296 1413 1884 1944 2512 2592 2826 3768 3888 4239 5024 5652 7536 7776 8478 11304 12717 15072 16956 22608 25434 33912 38151 45216 50868 67824 76302 101736 135648 152604 203472 305208 406944 610416 1220832