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142913628 = 22321113172371
BaseRepresentation
bin10001000010010…
…11000001011100
3100221220202122100
420201023001130
5243041214003
622103045100
73353513544
oct1041130134
9327822570
10142913628
1173742140
123ba40790
13237ba5a0
1414da2324
15c82eba3
hex884b05c

142913628 has 288 divisors, whose sum is σ = 475517952. Its totient is φ = 35481600.

The previous prime is 142913623. The next prime is 142913629. The reversal of 142913628 is 826319241.

142913628 is a `hidden beast` number, since 1 + 4 + 29 + 1 + 3 + 628 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 142913592 and 142913601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142913623) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2012833 + ... + 2012903.

It is an arithmetic number, because the mean of its divisors is an integer number (1651104).

Almost surely, 2142913628 is an apocalyptic number.

142913628 is a gapful number since it is divisible by the number (18) 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 142913628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237758976).

142913628 is an abundant number, since it is smaller than the sum of its proper divisors (332604324).

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

142913628 is a wasteful number, since it uses less digits than its factorization.

142913628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 140 counting only the distinct ones).

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

The square root of 142913628 is about 11954.6488028716. The cubic root of 142913628 is about 522.8268482979.

The spelling of 142913628 in words is "one hundred forty-two million, nine hundred thirteen thousand, six hundred twenty-eight".