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142623936 = 2633713907
BaseRepresentation
bin10001000000001…
…00010011000000
3100221101001021000
420200010103000
5243002431221
622052532000
73351166140
oct1040042300
9327331230
10142623936
1173564524
123b921000
1323718780
1414d28920
15c7c3e26
hex88044c0

142623936 has 224 divisors, whose sum is σ = 516615680. Its totient is φ = 37573632.

The previous prime is 142623919. The next prime is 142623941. The reversal of 142623936 is 639326241.

142623936 is a `hidden beast` number, since 1 + 4 + 262 + 393 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 142623936.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 156795 + ... + 157701.

It is an arithmetic number, because the mean of its divisors is an integer number (2306320).

Almost surely, 2142623936 is an apocalyptic number.

142623936 is a gapful number since it is divisible by the number (16) 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 142623936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258307840).

142623936 is an abundant number, since it is smaller than the sum of its proper divisors (373991744).

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

142623936 is a wasteful number, since it uses less digits than its factorization.

142623936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948 (or 932 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 142623936 is about 11942.5263658909. The cubic root of 142623936 is about 522.4733452517.

The spelling of 142623936 in words is "one hundred forty-two million, six hundred twenty-three thousand, nine hundred thirty-six".