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154090080 = 2533553673
BaseRepresentation
bin10010010111100…
…11101001100000
3101201221120212000
421023303221200
5303421340310
623142404000
73550513134
oct1113635140
9351846760
10154090080
1179a86181
1243730600
1325c01781
14166713c4
15d7db4c0
hex92f3a60

154090080 has 192 divisors, whose sum is σ = 550307520. Its totient is φ = 40255488.

The previous prime is 154090073. The next prime is 154090103. The reversal of 154090080 is 80090451.

154090080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 228624 + ... + 229296.

It is an arithmetic number, because the mean of its divisors is an integer number (2866185).

Almost surely, 2154090080 is an apocalyptic number.

154090080 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 154090080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275153760).

154090080 is an abundant number, since it is smaller than the sum of its proper divisors (396217440).

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

154090080 is a wasteful number, since it uses less digits than its factorization.

154090080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 154090080 is about 12413.3025420313. The cubic root of 154090080 is about 536.1153312379.

The spelling of 154090080 in words is "one hundred fifty-four million, ninety thousand, eighty".