Search a number
-
+
134023680 = 293357277
BaseRepresentation
bin1111111110100…
…00101000000000
3100100012002221000
413333100220000
5233302224210
621144332000
73215116410
oct777205000
9310162830
10134023680
116971aa7a
1238a74000
13219c706b
1413b2a640
15bb75ac0
hex7fd0a00

134023680 has 320 divisors, whose sum is σ = 546036480. Its totient is φ = 30523392.

The previous prime is 134023621. The next prime is 134023723. The reversal of 134023680 is 86320431.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 483702 + ... + 483978.

It is an arithmetic number, because the mean of its divisors is an integer number (1706364).

Almost surely, 2134023680 is an apocalyptic number.

134023680 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 134023680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273018240).

134023680 is an abundant number, since it is smaller than the sum of its proper divisors (412012800).

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

134023680 is an equidigital number, since it uses as much as digits as its factorization.

134023680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 134023680 is about 11576.8596778228. The cubic root of 134023680 is about 511.7531362006.

The spelling of 134023680 in words is "one hundred thirty-four million, twenty-three thousand, six hundred eighty".