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142300368 = 2433747057
BaseRepresentation
bin10000111101101…
…01010011010000
3100220202121102000
420132311103100
5242412102433
622041554000
73345350610
oct1036652320
9326677360
10142300368
1173363411
123b7a5900
1323634402
1414c82a40
15c75d113
hex87b54d0

142300368 has 80 divisors (see below), whose sum is σ = 466815360. Its totient is φ = 40656384.

The previous prime is 142300363. The next prime is 142300369. The reversal of 142300368 is 863003241.

It is a happy number.

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 (142300363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20505 + ... + 26552.

It is an arithmetic number, because the mean of its divisors is an integer number (5835192).

Almost surely, 2142300368 is an apocalyptic number.

142300368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

142300368 is an abundant number, since it is smaller than the sum of its proper divisors (324514992).

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

142300368 is a wasteful number, since it uses less digits than its factorization.

142300368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47081 (or 47069 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 142300368 is about 11928.9717913993. The cubic root of 142300368 is about 522.0779378938.

The spelling of 142300368 in words is "one hundred forty-two million, three hundred thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 252 336 378 432 504 756 1008 1512 3024 47057 94114 141171 188228 282342 329399 376456 423513 564684 658798 752912 847026 988197 1129368 1270539 1317596 1694052 1976394 2258736 2541078 2635192 2964591 3388104 3952788 5082156 5270384 5929182 6776208 7905576 8893773 10164312 11858364 15811152 17787546 20328624 23716728 35575092 47433456 71150184 142300368