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148416840 = 233351113312
BaseRepresentation
bin10001101100010…
…10100101001000
3101100021100122000
420312022211020
5300443314330
622421031000
73451344105
oct1066124510
9340240560
10148416840
1176860850
1241855460
1324996420
14159d5aac
15d06a560
hex8d8a948

148416840 has 384 divisors, whose sum is σ = 600566400. Its totient is φ = 32140800.

The previous prime is 148416839. The next prime is 148416857. The reversal of 148416840 is 48614841.

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 = 148416795 and 148416804.

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 95 ways as a sum of consecutive naturals, for example, 4787625 + ... + 4787655.

It is an arithmetic number, because the mean of its divisors is an integer number (1563975).

Almost surely, 2148416840 is an apocalyptic number.

148416840 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 148416840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300283200).

148416840 is an abundant number, since it is smaller than the sum of its proper divisors (452149560).

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

148416840 is a wasteful number, since it uses less digits than its factorization.

148416840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 148416840 is about 12182.6450329967. The cubic root of 148416840 is about 529.4533820878.

The spelling of 148416840 in words is "one hundred forty-eight million, four hundred sixteen thousand, eight hundred forty".