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1332480 = 2835347
BaseRepresentation
bin101000101010100000000
32111200211010
411011110000
5320114410
644320520
714216532
oct5052400
92450733
101332480
11830126
12543140
13378666
14269852
151b4c20
hex145500

1332480 has 72 divisors (see below), whose sum is σ = 4267872. Its totient is φ = 354304.

The previous prime is 1332479. The next prime is 1332491. The reversal of 1332480 is 842331.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3667 + ... + 4013.

It is an arithmetic number, because the mean of its divisors is an integer number (59276).

21332480 is an apocalyptic number.

1332480 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 1332480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2133936).

1332480 is an abundant number, since it is smaller than the sum of its proper divisors (2935392).

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

1332480 is an equidigital number, since it uses as much as digits as its factorization.

1332480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 1332480 is about 1154.3309750674. The cubic root of 1332480 is about 110.0407562473.

The spelling of 1332480 in words is "one million, three hundred thirty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 347 384 480 640 694 768 960 1041 1280 1388 1735 1920 2082 2776 3470 3840 4164 5205 5552 6940 8328 10410 11104 13880 16656 20820 22208 27760 33312 41640 44416 55520 66624 83280 88832 111040 133248 166560 222080 266496 333120 444160 666240 1332480