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1226880 = 2733571
BaseRepresentation
bin100101011100010000000
32022022222000
410223202000
5303230010
642144000
713266624
oct4534200
92268860
101226880
11768856
124b2000
1333c585
1423d184
151937c0
hex12b880

1226880 has 128 divisors (see below), whose sum is σ = 4406400. Its totient is φ = 322560.

The previous prime is 1226867. The next prime is 1226891. The reversal of 1226880 is 886221.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 17245 + ... + 17315.

It is an arithmetic number, because the mean of its divisors is an integer number (34425).

21226880 is an apocalyptic number.

1226880 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 1226880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2203200).

1226880 is an abundant number, since it is smaller than the sum of its proper divisors (3179520).

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

1226880 is an equidigital number, since it uses as much as digits as its factorization.

1226880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1226880 is about 1107.6461528846. The cubic root of 1226880 is about 107.0534568535.

The spelling of 1226880 in words is "one million, two hundred twenty-six thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 71 72 80 90 96 108 120 128 135 142 144 160 180 192 213 216 240 270 284 288 320 355 360 384 426 432 480 540 568 576 639 640 710 720 852 864 960 1065 1080 1136 1152 1278 1420 1440 1704 1728 1917 1920 2130 2160 2272 2556 2840 2880 3195 3408 3456 3834 4260 4320 4544 5112 5680 5760 6390 6816 7668 8520 8640 9088 9585 10224 11360 12780 13632 15336 17040 17280 19170 20448 22720 25560 27264 30672 34080 38340 40896 45440 51120 61344 68160 76680 81792 102240 122688 136320 153360 204480 245376 306720 408960 613440 1226880