Search a number
-
+
142545312 = 2533731337
BaseRepresentation
bin10000111111100…
…01000110100000
3100221020001102000
420133301012200
5242442422222
622051124000
73350421000
oct1037610640
9327201360
10142545312
1173510448
123b8a3600
13236bba50
1414d08000
15c7aa9ac
hex87f11a0

142545312 has 384 divisors, whose sum is σ = 536256000. Its totient is φ = 36578304.

The previous prime is 142545287. The next prime is 142545317. The reversal of 142545312 is 213545241.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (142545317) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3852558 + ... + 3852594.

It is an arithmetic number, because the mean of its divisors is an integer number (1396500).

Almost surely, 2142545312 is an apocalyptic number.

142545312 is a gapful number since it is divisible by the number (12) 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 142545312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268128000).

142545312 is an abundant number, since it is smaller than the sum of its proper divisors (393710688).

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

142545312 is a wasteful number, since it uses less digits than its factorization.

142545312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 62 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 142545312 is about 11939.2341462926. The cubic root of 142545312 is about 522.3773200069.

The spelling of 142545312 in words is "one hundred forty-two million, five hundred forty-five thousand, three hundred twelve".