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5940480 = 283571317
BaseRepresentation
bin10110101010010100000000
3102011210210210
4112222110000
53010043410
6331154120
7101331120
oct26522400
912153723
105940480
113398197
121ba5940
1312ccba0
14b08c80
157c5220
hex5aa500

5940480 has 288 divisors, whose sum is σ = 24724224. Its totient is φ = 1179648.

The previous prime is 5940479. The next prime is 5940503. The reversal of 5940480 is 840495.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 4.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 340 × 52 × 336.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 349432 + ... + 349448.

It is an arithmetic number, because the mean of its divisors is an integer number (85848).

Almost surely, 25940480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5940480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12362112).

5940480 is an abundant number, since it is smaller than the sum of its proper divisors (18783744).

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

5940480 is a wasteful number, since it uses less digits than its factorization.

5940480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 5940480 is about 2437.3099925943. The cubic root of 5940480 is about 181.1092002034.

The spelling of 5940480 in words is "five million, nine hundred forty thousand, four hundred eighty".