Search a number
-
+
142193700 = 2232521153271
BaseRepresentation
bin10000111100110…
…11010000100100
3100220120012002100
420132123100210
5242400144300
622035412100
73344424615
oct1036332044
9326505070
10142193700
11732a0260
123b754030
13235c79ac
1414c55c0c
15c73b700
hex879b424

142193700 has 216 divisors, whose sum is σ = 497218176. Its totient is φ = 33696000.

The previous prime is 142193677. The next prime is 142193713. The reversal of 142193700 is 7391241.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 524565 + ... + 524835.

It is an arithmetic number, because the mean of its divisors is an integer number (2301936).

Almost surely, 2142193700 is an apocalyptic number.

142193700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 11924×11925.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142193700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248609088).

142193700 is an abundant number, since it is smaller than the sum of its proper divisors (355024476).

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

142193700 is a wasteful number, since it uses less digits than its factorization.

142193700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 142193700 is about 11924.4999895174. The cubic root of 142193700 is about 521.9474558465.

The spelling of 142193700 in words is "one hundred forty-two million, one hundred ninety-three thousand, seven hundred".