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242602740 = 223254171463
BaseRepresentation
bin11100111010111…
…01001011110100
3121220111111101200
432131131023310
5444101241430
640023452500
76004042422
oct1635351364
9556444350
10242602740
11114a41036
12692b7130
133b352723
1424312112
1516472460
hexe75d2f4

242602740 has 144 divisors (see below), whose sum is σ = 766112256. Its totient is φ = 62092800.

The previous prime is 242602739. The next prime is 242602741. The reversal of 242602740 is 47206242.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (242602739) and next prime (242602741).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242602741) 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 47 ways as a sum of consecutive naturals, for example, 523749 + ... + 524211.

It is an arithmetic number, because the mean of its divisors is an integer number (5320224).

Almost surely, 2242602740 is an apocalyptic number.

242602740 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 242602740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383056128).

242602740 is an abundant number, since it is smaller than the sum of its proper divisors (523509516).

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

242602740 is a wasteful number, since it uses less digits than its factorization.

242602740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 242602740 is about 15575.7099356659. The cubic root of 242602740 is about 623.6849062530.

Adding to 242602740 its reverse (47206242), we get a palindrome (289808982).

It can be divided in two parts, 242602 and 740, that added together give a palindrome (243342).

The spelling of 242602740 in words is "two hundred forty-two million, six hundred two thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 71 82 90 123 142 164 180 205 213 246 284 355 369 410 426 463 492 615 639 710 738 820 852 926 1065 1230 1278 1389 1420 1476 1845 1852 2130 2315 2460 2556 2778 2911 3195 3690 4167 4260 4630 5556 5822 6390 6945 7380 8334 8733 9260 11644 12780 13890 14555 16668 17466 18983 20835 26199 27780 29110 32873 34932 37966 41670 43665 52398 56949 58220 65746 75932 83340 87330 94915 98619 104796 113898 130995 131492 164365 170847 174660 189830 197238 227796 261990 284745 295857 328730 341694 379660 394476 493095 523980 569490 591714 657460 683388 854235 986190 1138980 1183428 1347793 1479285 1708470 1972380 2695586 2958570 3416940 4043379 5391172 5917140 6738965 8086758 12130137 13477930 16173516 20216895 24260274 26955860 40433790 48520548 60650685 80867580 121301370 242602740