Search a number
-
+
148357440 = 26335711223
BaseRepresentation
bin10001101011111…
…00000101000000
3101100011100011000
420311330011000
5300434414230
622415452000
73451005660
oct1065740500
9340140130
10148357440
1176820160
1241827000
132497538a
14159bc1a0
15d057b60
hex8d7c140

148357440 has 448 divisors, whose sum is σ = 655441920. Its totient is φ = 30689280.

The previous prime is 148357423. The next prime is 148357459. The reversal of 148357440 is 44753841.

148357440 is a `hidden beast` number, since 1 + 4 + 83 + 574 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 148357395 and 148357404.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 665169 + ... + 665391.

It is an arithmetic number, because the mean of its divisors is an integer number (1463040).

Almost surely, 2148357440 is an apocalyptic number.

148357440 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 148357440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327720960).

148357440 is an abundant number, since it is smaller than the sum of its proper divisors (507084480).

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

148357440 is a wasteful number, since it uses less digits than its factorization.

148357440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 148357440 is about 12180.2068947945. The cubic root of 148357440 is about 529.3827393237.

The spelling of 148357440 in words is "one hundred forty-eight million, three hundred fifty-seven thousand, four hundred forty".