Search a number
-
+
2542301160 = 233573026549
BaseRepresentation
bin1001011110001000…
…0110111111101000
320120011210021120020
42113202012333220
520201312114120
61100134200440
7120000126510
oct22742067750
96504707506
102542301160
111095076543
125ab4b3120
13316920519
141a1902840
15ed2d4640
hex97886fe8

2542301160 has 64 divisors (see below), whose sum is σ = 8716464000. Its totient is φ = 581097216.

The previous prime is 2542301123. The next prime is 2542301161. The reversal of 2542301160 is 611032452.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2542301160.

It is not an unprimeable number, because it can be changed into a prime (2542301161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1512435 + ... + 1514114.

It is an arithmetic number, because the mean of its divisors is an integer number (136194750).

Almost surely, 22542301160 is an apocalyptic number.

2542301160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2542301160 is an abundant number, since it is smaller than the sum of its proper divisors (6174162840).

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

2542301160 is a wasteful number, since it uses less digits than its factorization.

2542301160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3026570 (or 3026566 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 2542301160 is about 50421.2371922784. The cubic root of 2542301160 is about 1364.8209025847.

The spelling of 2542301160 in words is "two billion, five hundred forty-two million, three hundred one thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 3026549 6053098 9079647 12106196 15132745 18159294 21185843 24212392 30265490 36318588 42371686 45398235 60530980 63557529 72637176 84743372 90796470 105929215 121061960 127115058 169486744 181592940 211858430 254230116 317787645 363185880 423716860 508460232 635575290 847433720 1271150580 2542301160