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142813692 = 2234762969
BaseRepresentation
bin10001000001100…
…10100111111100
3100221201200120000
420200302213330
5243030014232
622100554300
73352616310
oct1040624774
9327650500
10142813692
117368404a
123b9b2990
1323783c58
1414d77b40
15c81027c
hex88329fc

142813692 has 60 divisors (see below), whose sum is σ = 426684720. Its totient is φ = 40803264.

The previous prime is 142813691. The next prime is 142813717. The reversal of 142813692 is 296318241.

142813692 is a `hidden beast` number, since 14 + 281 + 369 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142813691) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 29217 + ... + 33752.

It is an arithmetic number, because the mean of its divisors is an integer number (7111412).

Almost surely, 2142813692 is an apocalyptic number.

142813692 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

142813692 is an abundant number, since it is smaller than the sum of its proper divisors (283871028).

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

142813692 is a wasteful number, since it uses less digits than its factorization.

142813692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62992 (or 62981 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 142813692 is about 11950.4682753439. The cubic root of 142813692 is about 522.7049532105.

The spelling of 142813692 in words is "one hundred forty-two million, eight hundred thirteen thousand, six hundred ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 567 756 1134 2268 62969 125938 188907 251876 377814 440783 566721 755628 881566 1133442 1322349 1700163 1763132 2266884 2644698 3400326 3967047 5100489 5289396 6800652 7934094 10200978 11901141 15868188 20401956 23802282 35703423 47604564 71406846 142813692