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142343760 = 243513431061
BaseRepresentation
bin10000111101111…
…11111001010000
3100220211210221010
420132333321100
5242420000020
622042530520
73345621246
oct1036777120
9326753833
10142343760
1173392a79
123b806a40
132364b0a0
1414c94796
15c76ade0
hex87bfe50

142343760 has 160 divisors (see below), whose sum is σ = 486718848. Its totient is φ = 34191360.

The previous prime is 142343749. The next prime is 142343779. The reversal of 142343760 is 67343241.

142343760 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 (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, 133630 + ... + 134690.

Almost surely, 2142343760 is an apocalyptic number.

142343760 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 142343760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243359424).

142343760 is an abundant number, since it is smaller than the sum of its proper divisors (344375088).

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

142343760 is a wasteful number, since it uses less digits than its factorization.

142343760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 142343760 is about 11930.7904180737. The cubic root of 142343760 is about 522.1309986692.

The spelling of 142343760 in words is "one hundred forty-two million, three hundred forty-three thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 43 48 52 60 65 78 80 86 104 120 129 130 156 172 195 208 215 240 258 260 312 344 390 430 516 520 559 624 645 688 780 860 1032 1040 1061 1118 1290 1560 1677 1720 2064 2122 2236 2580 2795 3120 3183 3354 3440 4244 4472 5160 5305 5590 6366 6708 8385 8488 8944 10320 10610 11180 12732 13416 13793 15915 16770 16976 21220 22360 25464 26832 27586 31830 33540 41379 42440 44720 45623 50928 55172 63660 67080 68965 82758 84880 91246 110344 127320 134160 136869 137930 165516 182492 206895 220688 228115 254640 273738 275860 331032 364984 413790 456230 547476 551720 593099 662064 684345 729968 827580 912460 1094952 1103440 1186198 1368690 1655160 1779297 1824920 2189904 2372396 2737380 2965495 3310320 3558594 3649840 4744792 5474760 5930990 7117188 8896485 9489584 10949520 11861980 14234376 17792970 23723960 28468752 35585940 47447920 71171880 142343760