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1221480 = 233451329
BaseRepresentation
bin100101010001101101000
32022001120000
410222031220
5303041410
642103000
713245111
oct4521550
92261500
101221480
11764797
124aaa60
13339c90
1423b208
15191dc0
hex12a368

1221480 has 160 divisors (see below), whose sum is σ = 4573800. Its totient is φ = 290304.

The previous prime is 1221469. The next prime is 1221499. The reversal of 1221480 is 841221.

It can be written as a sum of positive squares in 4 ways, for example, as 777924 + 443556 = 882^2 + 666^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 42106 + ... + 42134.

21221480 is an apocalyptic number.

1221480 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 1221480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2286900).

1221480 is an abundant number, since it is smaller than the sum of its proper divisors (3352320).

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

1221480 is a wasteful number, since it uses less digits than its factorization.

1221480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 1221480 is about 1105.2058631766. The cubic root of 1221480 is about 106.8961638605.

The spelling of 1221480 in words is "one million, two hundred twenty-one thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 27 29 30 36 39 40 45 52 54 58 60 65 72 78 81 87 90 104 108 116 117 120 130 135 145 156 162 174 180 195 216 232 234 260 261 270 290 312 324 348 351 360 377 390 405 435 468 520 522 540 580 585 648 696 702 754 780 783 810 870 936 1044 1053 1080 1131 1160 1170 1305 1404 1508 1560 1566 1620 1740 1755 1885 2088 2106 2262 2340 2349 2610 2808 3016 3132 3240 3393 3480 3510 3770 3915 4212 4524 4680 4698 5220 5265 5655 6264 6786 7020 7540 7830 8424 9048 9396 10179 10440 10530 11310 11745 13572 14040 15080 15660 16965 18792 20358 21060 22620 23490 27144 30537 31320 33930 40716 42120 45240 46980 50895 61074 67860 81432 93960 101790 122148 135720 152685 203580 244296 305370 407160 610740 1221480