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142002300 = 2235211371163
BaseRepresentation
bin10000111011011…
…00100001111100
3100220012110112110
420131230201330
5242323033200
622031334020
73342666606
oct1035544174
9326173473
10142002300
117317a480
123b681310
132355b83b
1414c06176
15c6eeb50
hex876c87c

142002300 has 144 divisors (see below), whose sum is σ = 460720512. Its totient is φ = 33465600.

The previous prime is 142002251. The next prime is 142002307. The reversal of 142002300 is 3200241.

142002300 is digitally balanced in base 2, 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 (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142002307) 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, 121519 + ... + 122681.

It is an arithmetic number, because the mean of its divisors is an integer number (3199448).

Almost surely, 2142002300 is an apocalyptic number.

142002300 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 142002300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230360256).

142002300 is an abundant number, since it is smaller than the sum of its proper divisors (318718212).

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

142002300 is a wasteful number, since it uses less digits than its factorization.

142002300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228 (or 1221 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 142002300 is about 11916.4717932784. The cubic root of 142002300 is about 521.7131613584.

Adding to 142002300 its reverse (3200241), we get a palindrome (145202541).

The spelling of 142002300 in words is "one hundred forty-two million, two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 37 44 50 55 60 66 74 75 100 110 111 132 148 150 165 185 220 222 275 300 330 370 407 444 550 555 660 740 814 825 925 1100 1110 1163 1221 1628 1650 1850 2035 2220 2326 2442 2775 3300 3489 3700 4070 4652 4884 5550 5815 6105 6978 8140 10175 11100 11630 12210 12793 13956 17445 20350 23260 24420 25586 29075 30525 34890 38379 40700 43031 51172 58150 61050 63965 69780 76758 86062 87225 116300 122100 127930 129093 153516 172124 174450 191895 215155 255860 258186 319825 348900 383790 430310 473341 516372 639650 645465 767580 860620 946682 959475 1075775 1279300 1290930 1420023 1893364 1918950 2151550 2366705 2581860 2840046 3227325 3837900 4303100 4733410 5680092 6454650 7100115 9466820 11833525 12909300 14200230 23667050 28400460 35500575 47334100 71001150 142002300