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140342760 = 23335199653
BaseRepresentation
bin10000101110101…
…11010111101000
3100210002011002000
420113113113220
5241411432020
621532011000
73322615365
oct1027272750
9323064060
10140342760
1172246658
123b000a60
13230ca36c
14148d346c
15c4c3090
hex85d75e8

140342760 has 128 divisors (see below), whose sum is σ = 470880000. Its totient is φ = 37179648.

The previous prime is 140342749. The next prime is 140342767. The reversal of 140342760 is 67243041.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140342767) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 214594 + ... + 215246.

It is an arithmetic number, because the mean of its divisors is an integer number (3678750).

Almost surely, 2140342760 is an apocalyptic number.

140342760 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 140342760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235440000).

140342760 is an abundant number, since it is smaller than the sum of its proper divisors (330537240).

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

140342760 is a wasteful number, since it uses less digits than its factorization.

140342760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 140342760 is about 11846.6349652549. The cubic root of 140342760 is about 519.6728217997.

The spelling of 140342760 in words is "one hundred forty million, three hundred forty-two thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 199 216 270 360 398 540 597 653 796 995 1080 1194 1306 1592 1791 1959 1990 2388 2612 2985 3265 3582 3918 3980 4776 5224 5373 5877 5970 6530 7164 7836 7960 8955 9795 10746 11754 11940 13060 14328 15672 17631 17910 19590 21492 23508 23880 26120 26865 29385 35262 35820 39180 42984 47016 53730 58770 70524 71640 78360 88155 107460 117540 129947 141048 176310 214920 235080 259894 352620 389841 519788 649735 705240 779682 1039576 1169523 1299470 1559364 1949205 2339046 2598940 3118728 3508569 3898410 4678092 5197880 5847615 7017138 7796820 9356184 11695230 14034276 15593640 17542845 23390460 28068552 35085690 46780920 70171380 140342760