Search a number
-
+
2725284720 = 243523493711
BaseRepresentation
bin1010001001110000…
…1000101101110000
321000221002210211010
42202130020231300
521040133102340
61130232150520
7124351352334
oct24234105560
97027083733
102725284720
111179396824
12640838440
133457ca412
141bbd357c4
1510e3cbb80
hexa2708b70

2725284720 has 80 divisors (see below), whose sum is σ = 8815721472. Its totient is φ = 695143680.

The previous prime is 2725284701. The next prime is 2725284761. The reversal of 2725284720 is 274825272.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 241336 + ... + 252375.

Almost surely, 22725284720 is an apocalyptic number.

2725284720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2725284720 is an abundant number, since it is smaller than the sum of its proper divisors (6090436752).

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

2725284720 is a wasteful number, since it uses less digits than its factorization.

2725284720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493750 (or 493744 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 39.

The square root of 2725284720 is about 52204.2595963203. The cubic root of 2725284720 is about 1396.8098655174.

The spelling of 2725284720 in words is "two billion, seven hundred twenty-five million, two hundred eighty-four thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 920 1104 1380 1840 2760 5520 493711 987422 1481133 1974844 2468555 2962266 3949688 4937110 5924532 7405665 7899376 9874220 11355353 11849064 14811330 19748440 22710706 23698128 29622660 34066059 39496880 45421412 56776765 59245320 68132118 90842824 113553530 118490640 136264236 170330295 181685648 227107060 272528472 340660590 454214120 545056944 681321180 908428240 1362642360 2725284720