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1220904 = 233231547
BaseRepresentation
bin100101010000100101000
32022000202200
410222010220
5303032104
642100200
713243326
oct4520450
92260680
101220904
11764313
124aa660
13339939
1423ad16
15191b39
hex12a128

1220904 has 48 divisors (see below), whose sum is σ = 3419520. Its totient is φ = 393120.

The previous prime is 1220903. The next prime is 1220917. The reversal of 1220904 is 4090221.

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

It is not an unprimeable number, because it can be changed into a prime (1220903) 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, 1959 + ... + 2505.

It is an arithmetic number, because the mean of its divisors is an integer number (71240).

21220904 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 1220904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1709760).

1220904 is an abundant number, since it is smaller than the sum of its proper divisors (2198616).

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

1220904 is a wasteful number, since it uses less digits than its factorization.

1220904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1220904 is about 1104.9452475123. The cubic root of 1220904 is about 106.8793585993.

The spelling of 1220904 in words is "one million, two hundred twenty thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 547 558 744 1094 1116 1641 2188 2232 3282 4376 4923 6564 9846 13128 16957 19692 33914 39384 50871 67828 101742 135656 152613 203484 305226 406968 610452 1220904