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242532640 = 2557832609
BaseRepresentation
bin11100111010011…
…00000100100000
3121220100221020101
432131030010200
5444042021030
640022152144
76003331150
oct1635140440
9556327211
10242532640
111149a33a9
1269282654
133b32984c
14242d4760
151645b7ca
hexe74c120

242532640 has 96 divisors (see below), whose sum is σ = 662981760. Its totient is φ = 82120704.

The previous prime is 242532629. The next prime is 242532683. The reversal of 242532640 is 46235242.

242532640 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 = 242532599 and 242532608.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91656 + ... + 94264.

It is an arithmetic number, because the mean of its divisors is an integer number (6906060).

Almost surely, 2242532640 is an apocalyptic number.

242532640 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 242532640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331490880).

242532640 is an abundant number, since it is smaller than the sum of its proper divisors (420449120).

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

242532640 is a wasteful number, since it uses less digits than its factorization.

242532640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2714 (or 2706 counting only the distinct ones).

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

The square root of 242532640 is about 15573.4594743750. The cubic root of 242532640 is about 623.6248292679.

Adding to 242532640 its reverse (46235242), we get a palindrome (288767882).

The spelling of 242532640 in words is "two hundred forty-two million, five hundred thirty-two thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 83 112 140 160 166 224 280 332 415 560 581 664 830 1120 1162 1328 1660 2324 2609 2656 2905 3320 4648 5218 5810 6640 9296 10436 11620 13045 13280 18263 18592 20872 23240 26090 36526 41744 46480 52180 73052 83488 91315 92960 104360 146104 182630 208720 216547 292208 365260 417440 433094 584416 730520 866188 1082735 1461040 1515829 1732376 2165470 2922080 3031658 3464752 4330940 6063316 6929504 7579145 8661880 12126632 15158290 17323760 24253264 30316580 34647520 48506528 60633160 121266320 242532640