Search a number
-
+
154035840 = 2735773157
BaseRepresentation
bin10010010111001…
…10011010000000
3101201211211110010
421023212122000
5303413121330
623141304520
73550166040
oct1113463200
9351754403
10154035840
1179a49452
1243705140
1325bb2b8a
1416659720
15d7ca3b0
hex92e6680

154035840 has 256 divisors, whose sum is σ = 572440320. Its totient is φ = 34504704.

The previous prime is 154035839. The next prime is 154035841. The reversal of 154035840 is 48530451.

It is an interprime number because it is at equal distance from previous prime (154035839) and next prime (154035841).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 154035798 and 154035807.

It is not an unprimeable number, because it can be changed into a prime (154035841) 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, 981042 + ... + 981198.

It is an arithmetic number, because the mean of its divisors is an integer number (2236095).

Almost surely, 2154035840 is an apocalyptic number.

154035840 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 154035840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286220160).

154035840 is an abundant number, since it is smaller than the sum of its proper divisors (418404480).

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

154035840 is a wasteful number, since it uses less digits than its factorization.

154035840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 154035840 is about 12411.1175967356. The cubic root of 154035840 is about 536.0524193183.

The spelling of 154035840 in words is "one hundred fifty-four million, thirty-five thousand, eight hundred forty".