Search a number
-
+
148755360 = 25351331769
BaseRepresentation
bin10001101110111…
…01001110100000
3101100220112222210
420313131032200
5301040132420
622432202120
73454254045
oct1067351640
9340815883
10148755360
1176a72116
1241999340
1324a84530
1415a831cc
15d0d59e0
hex8ddd3a0

148755360 has 192 divisors, whose sum is σ = 521579520. Its totient is φ = 35389440.

The previous prime is 148755353. The next prime is 148755367. The reversal of 148755360 is 63557841.

148755360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (148755353) and next prime (148755367).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (148755367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 193056 + ... + 193824.

It is an arithmetic number, because the mean of its divisors is an integer number (2716560).

Almost surely, 2148755360 is an apocalyptic number.

148755360 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 148755360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260789760).

148755360 is an abundant number, since it is smaller than the sum of its proper divisors (372824160).

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

148755360 is a wasteful number, since it uses less digits than its factorization.

148755360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 831 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The square root of 148755360 is about 12196.5306542475. The cubic root of 148755360 is about 529.8556151137.

The spelling of 148755360 in words is "one hundred forty-eight million, seven hundred fifty-five thousand, three hundred sixty".