Search a number
-
+
142065792 = 27331137101
BaseRepresentation
bin10000111011111…
…00000010000000
3100220022200122000
420131330002000
5242332101132
622032544000
73343352661
oct1035740200
9326280560
10142065792
1173213150
123b6b2000
13235816cb
1414c21368
15c71387c
hex877c080

142065792 has 256 divisors, whose sum is σ = 474422400. Its totient is φ = 41472000.

The previous prime is 142065773. The next prime is 142065797. The reversal of 142065792 is 297560241.

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

It is not an unprimeable number, because it can be changed into a prime (142065797) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1406542 + ... + 1406642.

Almost surely, 2142065792 is an apocalyptic number.

142065792 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 142065792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237211200).

142065792 is an abundant number, since it is smaller than the sum of its proper divisors (332356608).

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

142065792 is a wasteful number, since it uses less digits than its factorization.

142065792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 142065792 is about 11919.1355391236. The cubic root of 142065792 is about 521.7909058184.

The spelling of 142065792 in words is "one hundred forty-two million, sixty-five thousand, seven hundred ninety-two".