Search a number
-
+
242362540 = 225717101833
BaseRepresentation
bin11100111001000…
…10100010101100
3121220001021220101
432130202202230
5444021100130
640014400444
76002022220
oct1634424254
9556037811
10242362540
11114897622
1269200124
133b29a2b4
142428c780
15164261ca
hexe7228ac

242362540 has 48 divisors (see below), whose sum is σ = 615892032. Its totient is φ = 78206976.

The previous prime is 242362531. The next prime is 242362559. The reversal of 242362540 is 45263242.

242362540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 242362499 and 242362508.

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, 48537 + ... + 53296.

It is an arithmetic number, because the mean of its divisors is an integer number (12831084).

Almost surely, 2242362540 is an apocalyptic number.

242362540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242362540 is an abundant number, since it is smaller than the sum of its proper divisors (373529492).

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

242362540 is a wasteful number, since it uses less digits than its factorization.

242362540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101866 (or 101864 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

The square root of 242362540 is about 15567.9973021580. The cubic root of 242362540 is about 623.4790023083.

The spelling of 242362540 in words is "two hundred forty-two million, three hundred sixty-two thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 238 340 476 595 1190 2380 101833 203666 407332 509165 712831 1018330 1425662 1731161 2036660 2851324 3462322 3564155 6924644 7128310 8655805 12118127 14256620 17311610 24236254 34623220 48472508 60590635 121181270 242362540