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1253280 = 25357373
BaseRepresentation
bin100110001111110100000
32100200011210
410301332200
5310101110
642510120
713436610
oct4617640
92320153
101253280
11786676
12505340
1334b5b2
14248a40
1519b520
hex131fa0

1253280 has 96 divisors (see below), whose sum is σ = 4523904. Its totient is φ = 285696.

The previous prime is 1253279. The next prime is 1253323. The reversal of 1253280 is 823521.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3174 + ... + 3546.

It is an arithmetic number, because the mean of its divisors is an integer number (47124).

21253280 is an apocalyptic number.

1253280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 1119×1120.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1253280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2261952).

1253280 is an abundant number, since it is smaller than the sum of its proper divisors (3270624).

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

1253280 is a wasteful number, since it uses less digits than its factorization.

1253280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1253280 is about 1119.4998883430. The cubic root of 1253280 is about 107.8158728203.

The spelling of 1253280 in words is "one million, two hundred fifty-three thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 70 80 84 96 105 112 120 140 160 168 210 224 240 280 336 373 420 480 560 672 746 840 1119 1120 1492 1680 1865 2238 2611 2984 3360 3730 4476 5222 5595 5968 7460 7833 8952 10444 11190 11936 13055 14920 15666 17904 20888 22380 26110 29840 31332 35808 39165 41776 44760 52220 59680 62664 78330 83552 89520 104440 125328 156660 179040 208880 250656 313320 417760 626640 1253280