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142710176 = 257412379
BaseRepresentation
bin10001000000110…
…01010110100000
3100221112102120002
420200121112200
5243013211201
622054435132
73352005440
oct1040312640
9327472502
10142710176
11736132a4
123b962aa8
1323748abb
1414d4c120
15c7de76b
hex88195a0

142710176 has 72 divisors (see below), whose sum is σ = 329988960. Its totient is φ = 59512320.

The previous prime is 142710167. The next prime is 142710179. The reversal of 142710176 is 671017241.

142710176 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142710179) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 376355 + ... + 376733.

It is an arithmetic number, because the mean of its divisors is an integer number (4583180).

Almost surely, 2142710176 is an apocalyptic number.

142710176 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 142710176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164994480).

142710176 is an abundant number, since it is smaller than the sum of its proper divisors (187278784).

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

142710176 is an equidigital number, since it uses as much as digits as its factorization.

142710176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 29.

The square root of 142710176 is about 11946.1364465671. The cubic root of 142710176 is about 522.5786315122.

The spelling of 142710176 in words is "one hundred forty-two million, seven hundred ten thousand, one hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 82 112 164 224 287 328 379 574 656 758 1148 1312 1516 1681 2296 2653 3032 3362 4592 5306 6064 6724 9184 10612 11767 12128 13448 15539 21224 23534 26896 31078 42448 47068 53792 62156 84896 94136 108773 124312 188272 217546 248624 376544 435092 497248 637099 870184 1274198 1740368 2548396 3480736 4459693 5096792 8919386 10193584 17838772 20387168 35677544 71355088 142710176