Search a number
-
+
114692928 = 2637273167
BaseRepresentation
bin1101101011000…
…01001101000000
321222211000010020
412311201031000
5213330133203
615214133440
72561605500
oct665411500
9258730106
10114692928
1159817549
12324b1280
131a9b944c
1411337a00
15a108153
hex6d61340

114692928 has 168 divisors, whose sum is σ = 359980992. Its totient is φ = 32126976.

The previous prime is 114692923. The next prime is 114692939. The reversal of 114692928 is 829296411.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 114692928.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114692923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 686701 + ... + 686867.

It is an arithmetic number, because the mean of its divisors is an integer number (2142744).

Almost surely, 2114692928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114692928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179990496).

114692928 is an abundant number, since it is smaller than the sum of its proper divisors (245288064).

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

114692928 is a wasteful number, since it uses less digits than its factorization.

114692928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 252 counting only the distinct ones).

The product of its digits is 62208, while the sum is 42.

The square root of 114692928 is about 10709.4784186719. The cubic root of 114692928 is about 485.8611942502.

The spelling of 114692928 in words is "one hundred fourteen million, six hundred ninety-two thousand, nine hundred twenty-eight".