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142386072 = 23343281491
BaseRepresentation
bin10000111110010…
…10001110011000
3100220220221222020
420133022032120
5242422323242
622043454440
73346155513
oct1037121630
9326827866
10142386072
1173411844
123b827420
132366441a
1414ca5d7a
15c7786ec
hex87ca398

142386072 has 64 divisors (see below), whose sum is σ = 366284160. Its totient is φ = 46099200.

The previous prime is 142386061. The next prime is 142386109. The reversal of 142386072 is 270683241.

It is a congruent number.

It is an unprimeable number.

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, 289747 + ... + 290237.

It is an arithmetic number, because the mean of its divisors is an integer number (5723190).

Almost surely, 2142386072 is an apocalyptic number.

142386072 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 142386072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183142080).

142386072 is an abundant number, since it is smaller than the sum of its proper divisors (223898088).

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

142386072 is a wasteful number, since it uses less digits than its factorization.

142386072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The square root of 142386072 is about 11932.5635133445. The cubic root of 142386072 is about 522.1827284118.

The spelling of 142386072 in words is "one hundred forty-two million, three hundred eighty-six thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 258 281 344 491 516 562 843 982 1032 1124 1473 1686 1964 2248 2946 3372 3928 5892 6744 11784 12083 21113 24166 36249 42226 48332 63339 72498 84452 96664 126678 137971 144996 168904 253356 275942 289992 413913 506712 551884 827826 1103768 1655652 3311304 5932753 11865506 17798259 23731012 35596518 47462024 71193036 142386072