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242140500 = 22325377687
BaseRepresentation
bin11100110111011…
…00010101010100
3121212122000022200
432123230111110
5443441444000
640005524500
76000105660
oct1633542524
9555560280
10242140500
11114755818
1269113730
133b220204
14242318a0
15163d0500
hexe6ec554

242140500 has 144 divisors (see below), whose sum is σ = 873110784. Its totient is φ = 55339200.

The previous prime is 242140471. The next prime is 242140501. The reversal of 242140500 is 5041242.

242140500 is a `hidden beast` number, since 24 + 2 + 140 + 500 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242140501) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27657 + ... + 35343.

Almost surely, 2242140500 is an apocalyptic number.

242140500 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 242140500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436555392).

242140500 is an abundant number, since it is smaller than the sum of its proper divisors (630970284).

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

242140500 is a wasteful number, since it uses less digits than its factorization.

242140500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7719 (or 7704 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 242140500 is about 15560.8643718786. The cubic root of 242140500 is about 623.2885444161.

Adding to 242140500 its reverse (5041242), we get a palindrome (247181742).

The spelling of 242140500 in words is "two hundred forty-two million, one hundred forty thousand, five hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 28 30 35 36 42 45 50 60 63 70 75 84 90 100 105 125 126 140 150 175 180 210 225 250 252 300 315 350 375 420 450 500 525 630 700 750 875 900 1050 1125 1260 1500 1575 1750 2100 2250 2625 3150 3500 4500 5250 6300 7687 7875 10500 15374 15750 23061 30748 31500 38435 46122 53809 69183 76870 92244 107618 115305 138366 153740 161427 192175 215236 230610 269045 276732 322854 345915 384350 461220 484281 538090 576525 645708 691830 768700 807135 960875 968562 1076180 1153050 1345225 1383660 1614270 1729575 1921750 1937124 2306100 2421405 2690450 2882625 3228540 3459150 3843500 4035675 4842810 5380900 5765250 6726125 6918300 8071350 8647875 9685620 11530500 12107025 13452250 16142700 17295750 20178375 24214050 26904500 34591500 40356750 48428100 60535125 80713500 121070250 242140500