Search a number
-
+
142962000 = 2435323827
BaseRepresentation
bin10001000010101…
…10110101010000
3100222000012222220
420201112311100
5243044241000
622104101040
73354104556
oct1041266520
9328005886
10142962000
1173775515
123ba64780
13238065cc
1414db5bd6
15c83e1a0
hex8856d50

142962000 has 80 divisors (see below), whose sum is σ = 460928832. Its totient is φ = 38121600.

The previous prime is 142961989. The next prime is 142962007. The reversal of 142962000 is 269241.

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 (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142962007) by changing a digit.

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, 5914 + ... + 17913.

Almost surely, 2142962000 is an apocalyptic number.

142962000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142962000 is an abundant number, since it is smaller than the sum of its proper divisors (317966832).

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

142962000 is a wasteful number, since it uses less digits than its factorization.

142962000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23853 (or 23837 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 142962000 is about 11956.6717777147. The cubic root of 142962000 is about 522.8858287414.

The spelling of 142962000 in words is "one hundred forty-two million, nine hundred sixty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 23827 47654 71481 95308 119135 142962 190616 238270 285924 357405 381232 476540 571848 595675 714810 953080 1143696 1191350 1429620 1787025 1906160 2382700 2859240 2978375 3574050 4765400 5718480 5956750 7148100 8935125 9530800 11913500 14296200 17870250 23827000 28592400 35740500 47654000 71481000 142962000