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1220408 = 237193137
BaseRepresentation
bin100101001111100111000
32022000002022
410221330320
5303023113
642054012
713242020
oct4517470
92260068
101220408
11763a02
124aa308
13339647
1423aa80
15191908
hex129f38

1220408 has 64 divisors (see below), whose sum is σ = 2918400. Its totient is φ = 466560.

The previous prime is 1220393. The next prime is 1220411. The reversal of 1220408 is 8040221.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32966 + ... + 33002.

It is an arithmetic number, because the mean of its divisors is an integer number (45600).

21220408 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 1220408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1459200).

1220408 is an abundant number, since it is smaller than the sum of its proper divisors (1697992).

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

1220408 is a wasteful number, since it uses less digits than its factorization.

1220408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 1220408 is about 1104.7207792017. The cubic root of 1220408 is about 106.8648831663.

Adding to 1220408 its reverse (8040221), we get a palindrome (9260629).

The spelling of 1220408 in words is "one million, two hundred twenty thousand, four hundred eight".

Divisors: 1 2 4 7 8 14 19 28 31 37 38 56 62 74 76 124 133 148 152 217 248 259 266 296 434 518 532 589 703 868 1036 1064 1147 1178 1406 1736 2072 2294 2356 2812 4123 4588 4712 4921 5624 8029 8246 9176 9842 16058 16492 19684 21793 32116 32984 39368 43586 64232 87172 152551 174344 305102 610204 1220408