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1220960 = 25513587
BaseRepresentation
bin100101010000101100000
32022000211202
410222011200
5303032320
642100332
713243436
oct4520540
92260752
101220960
11764364
124aa6a8
13339980
1423ad56
15191b75
hex12a160

1220960 has 48 divisors (see below), whose sum is σ = 3111696. Its totient is φ = 450048.

The previous prime is 1220953. The next prime is 1220969. The reversal of 1220960 is 690221.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220969) 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 7 ways as a sum of consecutive naturals, for example, 1787 + ... + 2373.

It is an arithmetic number, because the mean of its divisors is an integer number (64827).

21220960 is an apocalyptic number.

1220960 is a gapful number since it is divisible by the number (10) 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 1220960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1555848).

1220960 is an abundant number, since it is smaller than the sum of its proper divisors (1890736).

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

1220960 is a wasteful number, since it uses less digits than its factorization.

1220960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 615 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 1220960 is about 1104.9705878439. The cubic root of 1220960 is about 106.8809926761.

The spelling of 1220960 in words is "one million, two hundred twenty thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 130 160 208 260 416 520 587 1040 1174 2080 2348 2935 4696 5870 7631 9392 11740 15262 18784 23480 30524 38155 46960 61048 76310 93920 122096 152620 244192 305240 610480 1220960