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5652480 = 2143523
BaseRepresentation
bin10101100100000000000000
3101122011202010
4111210000000
52421334410
6321052520
766021351
oct25440000
911564663
105652480
113210879
121a87140
13122ba82
14a71d28
15769c20
hex564000

5652480 has 120 divisors (see below), whose sum is σ = 18873792. Its totient is φ = 1441792.

The previous prime is 5652469. The next prime is 5652499. The reversal of 5652480 is 842565.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 245749 + ... + 245771.

Almost surely, 25652480 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 5652480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9436896).

5652480 is an abundant number, since it is smaller than the sum of its proper divisors (13221312).

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

5652480 is an equidigital number, since it uses as much as digits as its factorization.

5652480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 5652480 is about 2377.4944794889. The cubic root of 5652480 is about 178.1338050434.

The spelling of 5652480 in words is "five million, six hundred fifty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 64 69 80 92 96 115 120 128 138 160 184 192 230 240 256 276 320 345 368 384 460 480 512 552 640 690 736 768 920 960 1024 1104 1280 1380 1472 1536 1840 1920 2048 2208 2560 2760 2944 3072 3680 3840 4096 4416 5120 5520 5888 6144 7360 7680 8192 8832 10240 11040 11776 12288 14720 15360 16384 17664 20480 22080 23552 24576 29440 30720 35328 40960 44160 47104 49152 58880 61440 70656 81920 88320 94208 117760 122880 141312 176640 188416 235520 245760 282624 353280 376832 471040 565248 706560 942080 1130496 1413120 1884160 2826240 5652480