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142330392 = 23331783467
BaseRepresentation
bin10000111101111…
…00101000011000
3100220211010121000
420132330220120
5242414033032
622042345000
73345534261
oct1036745030
9326733530
10142330392
1173383a26
123b7bb160
1323644c89
1414c8d968
15c766e7c
hex87bca18

142330392 has 128 divisors (see below), whose sum is σ = 424569600. Its totient is φ = 44020224.

The previous prime is 142330381. The next prime is 142330399. The reversal of 142330392 is 293033241.

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 (142330399) 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 31 ways as a sum of consecutive naturals, for example, 304543 + ... + 305009.

It is an arithmetic number, because the mean of its divisors is an integer number (3316950).

Almost surely, 2142330392 is an apocalyptic number.

142330392 is a gapful number since it is divisible by the number (12) 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 142330392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212284800).

142330392 is an abundant number, since it is smaller than the sum of its proper divisors (282239208).

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

142330392 is a wasteful number, since it uses less digits than its factorization.

142330392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 142330392 is about 11930.2301738064. The cubic root of 142330392 is about 522.1146531086.

The spelling of 142330392 in words is "one hundred forty-two million, three hundred thirty thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 83 102 108 136 153 166 204 216 249 306 332 408 459 467 498 612 664 747 918 934 996 1224 1401 1411 1494 1836 1868 1992 2241 2802 2822 2988 3672 3736 4203 4233 4482 5604 5644 5976 7939 8406 8466 8964 11208 11288 12609 12699 15878 16812 16932 17928 23817 25218 25398 31756 33624 33864 38097 38761 47634 50436 50796 63512 71451 76194 77522 95268 100872 101592 116283 142902 152388 155044 190536 214353 232566 285804 304776 310088 348849 428706 465132 571608 658937 697698 857412 930264 1046547 1317874 1395396 1714824 1976811 2093094 2635748 2790792 3953622 4186188 5271496 5930433 7907244 8372376 11860866 15814488 17791299 23721732 35582598 47443464 71165196 142330392