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142102000 = 2453227313
BaseRepresentation
bin10000111100001…
…00110111110000
3100220101112022001
420132010313300
5242334231000
622033423344
73343563355
oct1036046760
9326345261
10142102000
1173238377
123b70ab54
1323595031
1414c3062c
15c71e46a
hex8784df0

142102000 has 80 divisors (see below), whose sum is σ = 346218912. Its totient is φ = 56409600.

The previous prime is 142101989. The next prime is 142102013. The reversal of 142102000 is 201241.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 453844 + ... + 454156.

Almost surely, 2142102000 is an apocalyptic number.

142102000 is a gapful number since it is divisible by the number (10) 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 142102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173109456).

142102000 is an abundant number, since it is smaller than the sum of its proper divisors (204116912).

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

142102000 is a wasteful number, since it uses less digits than its factorization.

142102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 142102000 is about 11920.6543444561. The cubic root of 142102000 is about 521.8352312913.

Adding to 142102000 its reverse (201241), we get a palindrome (142303241).

The spelling of 142102000 in words is "one hundred forty-two million, one hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 227 250 313 400 454 500 626 908 1000 1135 1252 1565 1816 2000 2270 2504 3130 3632 4540 5008 5675 6260 7825 9080 11350 12520 15650 18160 22700 25040 28375 31300 39125 45400 56750 62600 71051 78250 90800 113500 125200 142102 156500 227000 284204 313000 355255 454000 568408 626000 710510 1136816 1421020 1776275 2842040 3552550 5684080 7105100 8881375 14210200 17762750 28420400 35525500 71051000 142102000