Search a number
-
+
142300416 = 2833143139
BaseRepresentation
bin10000111101101…
…01010100000000
3100220202121110210
420132311110000
5242412103131
622041554120
73345351006
oct1036652400
9326677423
10142300416
1173363455
123b7a5940
132363443b
1414c82a76
15c75d146
hex87b5500

142300416 has 144 divisors (see below), whose sum is σ = 402913280. Its totient is φ = 44513280.

The previous prime is 142300397. The next prime is 142300423. The reversal of 142300416 is 614003241.

142300416 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 142300392 and 142300401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1023675 + ... + 1023813.

Almost surely, 2142300416 is an apocalyptic number.

142300416 is a gapful number since it is divisible by the number (16) 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 142300416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201456640).

142300416 is an abundant number, since it is smaller than the sum of its proper divisors (260612864).

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

142300416 is a wasteful number, since it uses less digits than its factorization.

142300416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 142300416 is about 11928.9738033076. The cubic root of 142300416 is about 522.0779965953.

Adding to 142300416 its reverse (614003241), we get a palindrome (756303657).

The spelling of 142300416 in words is "one hundred forty-two million, three hundred thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 43 48 62 64 86 93 96 124 128 129 139 172 186 192 248 256 258 278 344 372 384 417 496 516 556 688 744 768 834 992 1032 1112 1333 1376 1488 1668 1984 2064 2224 2666 2752 2976 3336 3968 3999 4128 4309 4448 5332 5504 5952 5977 6672 7936 7998 8256 8618 8896 10664 11008 11904 11954 12927 13344 15996 16512 17236 17792 17931 21328 23808 23908 25854 26688 31992 33024 34472 35584 35862 42656 47816 51708 53376 63984 68944 71724 85312 95632 103416 106752 127968 137888 143448 170624 185287 191264 206832 255936 275776 286896 341248 370574 382528 413664 511872 551552 555861 573792 741148 765056 827328 1023744 1103104 1111722 1147584 1482296 1530112 1654656 2223444 2295168 2964592 3309312 4446888 4590336 5929184 8893776 11858368 17787552 23716736 35575104 47433472 71150208 142300416