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242071740 = 2236516603
BaseRepresentation
bin11100110110110…
…11100010111100
3121212111112000000
432123123202330
5443432243430
640004234300
75666401341
oct1633334274
9555445000
10242071740
11114709099
126909b990
133b1c7b21
14242147c8
15163b9e60
hexe6db8bc

242071740 has 84 divisors (see below), whose sum is σ = 762223224. Its totient is φ = 64548576.

The previous prime is 242071717. The next prime is 242071763. The reversal of 242071740 is 47170242.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (242071717) and next prime (242071763).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 27 ways as a sum of consecutive naturals, for example, 6279 + ... + 22881.

It is an arithmetic number, because the mean of its divisors is an integer number (9074086).

Almost surely, 2242071740 is an apocalyptic number.

242071740 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 242071740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381111612).

242071740 is an abundant number, since it is smaller than the sum of its proper divisors (520151484).

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

242071740 is a wasteful number, since it uses less digits than its factorization.

242071740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16630 (or 16613 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 242071740 is about 15558.6548261731. The cubic root of 242071740 is about 623.2295409620.

The spelling of 242071740 in words is "two hundred forty-two million, seventy-one thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 729 810 972 1215 1458 1620 2430 2916 3645 4860 7290 14580 16603 33206 49809 66412 83015 99618 149427 166030 199236 249045 298854 332060 448281 498090 597708 747135 896562 996180 1344843 1494270 1793124 2241405 2689686 2988540 4034529 4482810 5379372 6724215 8069058 8965620 12103587 13448430 16138116 20172645 24207174 26896860 40345290 48414348 60517935 80690580 121035870 242071740