Search a number
-
+
148800072 = 2336200003
BaseRepresentation
bin10001101111010…
…00001001001000
3101100222211022210
420313220021020
5301043100242
622433145120
73454531311
oct1067501110
9340884283
10148800072
1176aa2773
12419bb1a0
1324a9b9a5
1415a95608
15d0e3d9c
hex8de8248

148800072 has 16 divisors (see below), whose sum is σ = 372000240. Its totient is φ = 49600016.

The previous prime is 148800059. The next prime is 148800101. The reversal of 148800072 is 270008841.

It is a super-2 number, since 2×1488000722 = 44282922854410368, which contains 22 as substring.

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 3 ways as a sum of consecutive naturals, for example, 3099978 + ... + 3100025.

It is an arithmetic number, because the mean of its divisors is an integer number (23250015).

Almost surely, 2148800072 is an apocalyptic number.

148800072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

148800072 is an abundant number, since it is smaller than the sum of its proper divisors (223200168).

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

148800072 is a wasteful number, since it uses less digits than its factorization.

148800072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6200012 (or 6200008 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 148800072 is about 12198.3634967974. The cubic root of 148800072 is about 529.9086967439.

The spelling of 148800072 in words is "one hundred forty-eight million, eight hundred thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 24 6200003 12400006 18600009 24800012 37200018 49600024 74400036 148800072