Search a number
-
+
123995872 = 2573111379
BaseRepresentation
bin1110110010000…
…00011011100000
322122022122100201
413121000123200
5223220331442
620145354544
73033643000
oct731003340
9278278321
10123995872
1163aa0a30
1235638a54
131c8c5950
141267a000
15ad447b7
hex76406e0

123995872 has 192 divisors, whose sum is σ = 338688000. Its totient is φ = 44029440.

The previous prime is 123995857. The next prime is 123995873. The reversal of 123995872 is 278599321.

Its product of digits (272160) is a multiple of the sum of its prime divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123995873) 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 31 ways as a sum of consecutive naturals, for example, 1569529 + ... + 1569607.

It is an arithmetic number, because the mean of its divisors is an integer number (1764000).

Almost surely, 2123995872 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 123995872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169344000).

123995872 is an abundant number, since it is smaller than the sum of its proper divisors (214692128).

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

123995872 is a wasteful number, since it uses less digits than its factorization.

123995872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 112 counting only the distinct ones).

The product of its digits is 272160, while the sum is 46.

The square root of 123995872 is about 11135.3433714457. The cubic root of 123995872 is about 498.6575616107.

The spelling of 123995872 in words is "one hundred twenty-three million, nine hundred ninety-five thousand, eight hundred seventy-two".