Search a number
-
+
142680960 = 2733523359
BaseRepresentation
bin10001000000100…
…10001110000000
3100221110221111000
420200102032000
5243011242320
622054052000
73351524322
oct1040221600
9327427430
10142680960
11735a3354
123b94a000
1323738706
1414d41612
15c7d5c90
hex8812380

142680960 has 256 divisors, whose sum is σ = 528768000. Its totient is φ = 36292608.

The previous prime is 142680953. The next prime is 142680977. The reversal of 142680960 is 69086241.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 397261 + ... + 397619.

It is an arithmetic number, because the mean of its divisors is an integer number (2065500).

Almost surely, 2142680960 is an apocalyptic number.

142680960 is a gapful number since it is divisible by the number (10) 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 142680960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264384000).

142680960 is an abundant number, since it is smaller than the sum of its proper divisors (386087040).

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

142680960 is a wasteful number, since it uses less digits than its factorization.

142680960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 392 counting only the distinct ones).

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

The square root of 142680960 is about 11944.9135618472. The cubic root of 142680960 is about 522.5429678575.

The spelling of 142680960 in words is "one hundred forty-two million, six hundred eighty thousand, nine hundred sixty".