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142879350 = 23522693541
BaseRepresentation
bin10001000010000…
…10101001110110
3100221212000121210
420201002221312
5243034114400
622102222250
73353311605
oct1041025166
9327760553
10142879350
1173719409
123ba24986
13237a7ac3
1414d93a3c
15c824950
hex8842a76

142879350 has 48 divisors (see below), whose sum is σ = 355758480. Its totient is φ = 37948800.

The previous prime is 142879343. The next prime is 142879369. The reversal of 142879350 is 53978241.

142879350 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 = 142879299 and 142879308.

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 23 ways as a sum of consecutive naturals, for example, 38580 + ... + 42120.

It is an arithmetic number, because the mean of its divisors is an integer number (7411635).

Almost surely, 2142879350 is an apocalyptic number.

142879350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 142879350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177879240).

142879350 is an abundant number, since it is smaller than the sum of its proper divisors (212879130).

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

142879350 is a wasteful number, since it uses less digits than its factorization.

142879350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3825 (or 3820 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 142879350 is about 11953.2150486804. The cubic root of 142879350 is about 522.7850447461.

The spelling of 142879350 in words is "one hundred forty-two million, eight hundred seventy-nine thousand, three hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 150 269 538 807 1345 1614 2690 3541 4035 6725 7082 8070 10623 13450 17705 20175 21246 35410 40350 53115 88525 106230 177050 265575 531150 952529 1905058 2857587 4762645 5715174 9525290 14287935 23813225 28575870 47626450 71439675 142879350