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2730255000 = 233541116547
BaseRepresentation
bin1010001010111100…
…0110001010011000
321001021110022202120
42202233012022120
521042421130000
61130530501240
7124441533054
oct24257061230
97037408676
102730255000
111181180aa0
12642434820
1334684a805
141bc86ac64
1510ea5e6a0
hexa2bc6298

2730255000 has 160 divisors (see below), whose sum is σ = 9305271360. Its totient is φ = 661840000.

The previous prime is 2730254983. The next prime is 2730255001. The reversal of 2730255000 is 5520372.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2730255001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 156727 + ... + 173273.

It is an arithmetic number, because the mean of its divisors is an integer number (58157946).

Almost surely, 22730255000 is an apocalyptic number.

2730255000 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 2730255000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4652635680).

2730255000 is an abundant number, since it is smaller than the sum of its proper divisors (6575016360).

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

2730255000 is a wasteful number, since it uses less digits than its factorization.

2730255000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16587 (or 16568 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 24.

The square root of 2730255000 is about 52251.8420727920. The cubic root of 2730255000 is about 1397.6585009938.

Adding to 2730255000 its reverse (5520372), we get a palindrome (2735775372).

The spelling of 2730255000 in words is "two billion, seven hundred thirty million, two hundred fifty-five thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 125 132 150 165 200 220 250 264 275 300 330 375 440 500 550 600 625 660 750 825 1000 1100 1250 1320 1375 1500 1650 1875 2200 2500 2750 3000 3300 3750 4125 5000 5500 6600 6875 7500 8250 11000 13750 15000 16500 16547 20625 27500 33000 33094 41250 49641 55000 66188 82500 82735 99282 132376 165000 165470 182017 198564 248205 330940 364034 397128 413675 496410 546051 661880 728068 827350 910085 992820 1092102 1241025 1456136 1654700 1820170 1985640 2068375 2184204 2482050 2730255 3309400 3640340 4136750 4368408 4550425 4964100 5460510 6205125 7280680 8273500 9100850 9928200 10341875 10921020 12410250 13651275 16547000 18201700 20683750 21842040 22752125 24820500 27302550 31025625 36403400 41367500 45504250 49641000 54605100 62051250 68256375 82735000 91008500 109210200 113760625 124102500 136512750 182017000 227521250 248205000 273025500 341281875 455042500 546051000 682563750 910085000 1365127500 2730255000