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1201480 = 23572613
BaseRepresentation
bin100100101010101001000
32021001010021
410211111020
5301421410
641430224
713132600
oct4452510
92231107
101201480
11750765
1249b374
13330b47
14233c00
1518aeda
hex125548

1201480 has 48 divisors (see below), whose sum is σ = 3149820. Its totient is φ = 411264.

The previous prime is 1201469. The next prime is 1201481. The reversal of 1201480 is 841021.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 988036 + 213444 = 994^2 + 462^2 .

It is not an unprimeable number, because it can be changed into a prime (1201481) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1654 + ... + 2266.

21201480 is an apocalyptic number.

1201480 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 1201480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574910).

1201480 is an abundant number, since it is smaller than the sum of its proper divisors (1948340).

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

1201480 is a wasteful number, since it uses less digits than its factorization.

1201480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 1201480 is about 1096.1204313395. The cubic root of 1201480 is about 106.3095260448.

It can be divided in two parts, 1201 and 480, that added together give a square (1681 = 412).

The spelling of 1201480 in words is "one million, two hundred one thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 613 980 1226 1960 2452 3065 4291 4904 6130 8582 12260 17164 21455 24520 30037 34328 42910 60074 85820 120148 150185 171640 240296 300370 600740 1201480