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142338360 = 23353183461
BaseRepresentation
bin10000111101111…
…10100100111000
3100220211112112010
420132332210320
5242414311420
622042445520
73345566433
oct1036764470
9326745463
10142338360
1173389a0a
123b8038a0
13236487a8
1414c9281a
15c7694e0
hex87be938

142338360 has 128 divisors (see below), whose sum is σ = 447068160. Its totient is φ = 36211200.

The previous prime is 142338349. The next prime is 142338379. The reversal of 142338360 is 63833241.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 308530 + ... + 308990.

It is an arithmetic number, because the mean of its divisors is an integer number (3492720).

Almost surely, 2142338360 is an apocalyptic number.

142338360 is a gapful number since it is divisible by the number (10) 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 142338360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223534080).

142338360 is an abundant number, since it is smaller than the sum of its proper divisors (304729800).

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

142338360 is a wasteful number, since it uses less digits than its factorization.

142338360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 142338360 is about 11930.5641107200. The cubic root of 142338360 is about 522.1243960076.

The spelling of 142338360 in words is "one hundred forty-two million, three hundred thirty-eight thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 83 93 120 124 155 166 186 248 249 310 332 372 415 461 465 498 620 664 744 830 922 930 996 1240 1245 1383 1660 1844 1860 1992 2305 2490 2573 2766 3320 3688 3720 4610 4980 5146 5532 6915 7719 9220 9960 10292 11064 12865 13830 14291 15438 18440 20584 25730 27660 28582 30876 38263 38595 42873 51460 55320 57164 61752 71455 76526 77190 85746 102920 114328 114789 142910 153052 154380 171492 191315 214365 229578 285820 306104 308760 342984 382630 428730 459156 571640 573945 765260 857460 918312 1147890 1186153 1530520 1714920 2295780 2372306 3558459 4591560 4744612 5930765 7116918 9489224 11861530 14233836 17792295 23723060 28467672 35584590 47446120 71169180 142338360