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142492600 = 23524571559
BaseRepresentation
bin10000111111001…
…00001110111000
3100221010101002201
420133210032320
5242434230400
622050035544
73350111215
oct1037441670
9327111081
10142492600
1173484888
123b878bb4
13236a0a63
1414cd2b0c
15c79a06a
hex87e43b8

142492600 has 48 divisors (see below), whose sum is σ = 332233200. Its totient is φ = 56835840.

The previous prime is 142492591. The next prime is 142492601. The reversal of 142492600 is 6294241.

142492600 is digitally balanced in base 2, 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 (142492601) 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, 90621 + ... + 92179.

It is an arithmetic number, because the mean of its divisors is an integer number (6921525).

Almost surely, 2142492600 is an apocalyptic number.

142492600 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 142492600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166116600).

142492600 is an abundant number, since it is smaller than the sum of its proper divisors (189740600).

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

142492600 is a wasteful number, since it uses less digits than its factorization.

142492600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2032 (or 2023 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The square root of 142492600 is about 11937.0264303971. The cubic root of 142492600 is about 522.3129218920.

The spelling of 142492600 in words is "one hundred forty-two million, four hundred ninety-two thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 457 914 1559 1828 2285 3118 3656 4570 6236 7795 9140 11425 12472 15590 18280 22850 31180 38975 45700 62360 77950 91400 155900 311800 712463 1424926 2849852 3562315 5699704 7124630 14249260 17811575 28498520 35623150 71246300 142492600