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1248480 = 25335172
BaseRepresentation
bin100110000110011100000
32100102121000
410300303200
5304422410
642432000
713416612
oct4606340
92312530
101248480
11783002
12502600
1334935c
14246db2
15199dc0
hex130ce0

1248480 has 144 divisors (see below), whose sum is σ = 4641840. Its totient is φ = 313344.

The previous prime is 1248469. The next prime is 1248493. The reversal of 1248480 is 848421.

It is a tau number, because it is divible by the number of its divisors (144).

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73432 + ... + 73448.

It is an arithmetic number, because the mean of its divisors is an integer number (32235).

21248480 is an apocalyptic number.

1248480 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 1248480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2320920).

1248480 is an abundant number, since it is smaller than the sum of its proper divisors (3393360).

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

1248480 is a wasteful number, since it uses less digits than its factorization.

1248480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 1248480 is about 1117.3540173105. The cubic root of 1248480 is about 107.6780535818.

It can be divided in two parts, 1248 and 480, that added together give a cube (1728 = 123).

The spelling of 1248480 in words is "one million, two hundred forty-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 27 30 32 34 36 40 45 48 51 54 60 68 72 80 85 90 96 102 108 120 135 136 144 153 160 170 180 204 216 240 255 270 272 288 289 306 340 360 408 432 459 480 510 540 544 578 612 680 720 765 816 864 867 918 1020 1080 1156 1224 1360 1440 1445 1530 1632 1734 1836 2040 2160 2295 2312 2448 2601 2720 2890 3060 3468 3672 4080 4320 4335 4590 4624 4896 5202 5780 6120 6936 7344 7803 8160 8670 9180 9248 10404 11560 12240 13005 13872 14688 15606 17340 18360 20808 23120 24480 26010 27744 31212 34680 36720 39015 41616 46240 52020 62424 69360 73440 78030 83232 104040 124848 138720 156060 208080 249696 312120 416160 624240 1248480