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5972480 = 2952333
BaseRepresentation
bin10110110010001000000000
3102020102200222
4112302020000
53012104410
6332002212
7101523323
oct26621000
912212628
105972480
11340a238
122000368
131311617
14b167ba
157ce955
hex5b2200

5972480 has 40 divisors (see below), whose sum is σ = 14326092. Its totient is φ = 2387968.

The previous prime is 5972453. The next prime is 5972501. The reversal of 5972480 is 842795.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 5837056 + 135424 = 2416^2 + 368^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 5972480.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1394 + ... + 3726.

Almost surely, 25972480 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 5972480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7163046).

5972480 is an abundant number, since it is smaller than the sum of its proper divisors (8353612).

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

5972480 is an equidigital number, since it uses as much as digits as its factorization.

5972480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2356 (or 2340 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 5972480 is about 2443.8657900957. The cubic root of 5972480 is about 181.4338158970.

The spelling of 5972480 in words is "five million, nine hundred seventy-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2333 2560 4666 9332 11665 18664 23330 37328 46660 74656 93320 149312 186640 298624 373280 597248 746560 1194496 1493120 2986240 5972480