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1224960 = 28351129
BaseRepresentation
bin100101011000100000000
32022020022220
410223010000
5303144320
642131040
713261212
oct4530400
92266286
101224960
11767370
124b0a80
1333b739
1423c5b2
15192e40
hex12b100

1224960 has 144 divisors (see below), whose sum is σ = 4415040. Its totient is φ = 286720.

The previous prime is 1224953. The next prime is 1224967. The reversal of 1224960 is 694221.

It is an interprime number because it is at equal distance from previous prime (1224953) and next prime (1224967).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1224960.

It is not an unprimeable number, because it can be changed into a prime (1224967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42226 + ... + 42254.

It is an arithmetic number, because the mean of its divisors is an integer number (30660).

21224960 is an apocalyptic number.

1224960 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 1224960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2207520).

1224960 is an abundant number, since it is smaller than the sum of its proper divisors (3190080).

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

1224960 is a wasteful number, since it uses less digits than its factorization.

1224960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 1224960 is about 1106.7791107534. The cubic root of 1224960 is about 106.9975834316.

1224960 divided by its sum of digits (24) gives a triangular number (51040 = T319).

The spelling of 1224960 in words is "one million, two hundred twenty-four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 29 30 32 33 40 44 48 55 58 60 64 66 80 87 88 96 110 116 120 128 132 145 160 165 174 176 192 220 232 240 256 264 290 319 320 330 348 352 384 435 440 464 480 528 580 638 640 660 696 704 768 870 880 928 957 960 1056 1160 1276 1280 1320 1392 1408 1595 1740 1760 1856 1914 1920 2112 2320 2552 2640 2784 2816 3190 3480 3520 3712 3828 3840 4224 4640 4785 5104 5280 5568 6380 6960 7040 7424 7656 8448 9280 9570 10208 10560 11136 12760 13920 14080 15312 18560 19140 20416 21120 22272 25520 27840 30624 37120 38280 40832 42240 51040 55680 61248 76560 81664 102080 111360 122496 153120 204160 244992 306240 408320 612480 1224960