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2148082360 = 235374730881
BaseRepresentation
bin1000000000001001…
…0010001010111000
312112200222220000221
42000002102022320
513344402113420
6553052505424
7104142253534
oct20002221270
95480886027
102148082360
11a0259a086
124bb47b274
13283054468
14165404bc4
15c88b3caa
hex800922b8

2148082360 has 64 divisors (see below), whose sum is σ = 5069589120. Its totient is φ = 818196480.

The previous prime is 2148082357. The next prime is 2148082367. The reversal of 2148082360 is 632808412.

It is a super-2 number, since 2×21480823602 = 9228515650686339200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2148082367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54120 + ... + 85000.

It is an arithmetic number, because the mean of its divisors is an integer number (79212330).

Almost surely, 22148082360 is an apocalyptic number.

2148082360 is a gapful number since it is divisible by the number (20) 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 2148082360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2534794560).

2148082360 is an abundant number, since it is smaller than the sum of its proper divisors (2921506760).

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

2148082360 is a wasteful number, since it uses less digits than its factorization.

2148082360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30976 (or 30972 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 2148082360 is about 46347.4094205922. The cubic root of 2148082360 is about 1290.2790414527.

The spelling of 2148082360 in words is "two billion, one hundred forty-eight million, eighty-two thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 20 37 40 47 74 94 148 185 188 235 296 370 376 470 740 940 1480 1739 1880 3478 6956 8695 13912 17390 30881 34780 61762 69560 123524 154405 247048 308810 617620 1142597 1235240 1451407 2285194 2902814 4570388 5712985 5805628 7257035 9140776 11425970 11611256 14514070 22851940 29028140 45703880 53702059 58056280 107404118 214808236 268510295 429616472 537020590 1074041180 2148082360