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148034880 = 26325721049
BaseRepresentation
bin10001101001011…
…01010101000000
3101022112221200100
420310231111000
5300344104010
622404522400
73445163400
oct1064552500
9338487610
10148034880
117661a884
12416b0400
1324891606
1415936800
15cee22c0
hex8d2d540

148034880 has 252 divisors, whose sum is σ = 592874100. Its totient is φ = 33804288.

The previous prime is 148034869. The next prime is 148034897. The reversal of 148034880 is 88430841.

148034880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 98247744 + 49787136 = 9912^2 + 7056^2 .

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×1480348802 = 43828651393228800, which contains 22 as substring.

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

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 35 ways as a sum of consecutive naturals, for example, 140596 + ... + 141644.

It is an arithmetic number, because the mean of its divisors is an integer number (2352675).

Almost surely, 2148034880 is an apocalyptic number.

148034880 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 148034880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296437050).

148034880 is an abundant number, since it is smaller than the sum of its proper divisors (444839220).

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

148034880 is a wasteful number, since it uses less digits than its factorization.

148034880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086 (or 1066 counting only the distinct ones).

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

The square root of 148034880 is about 12166.9585353119. The cubic root of 148034880 is about 528.9987981243.

It can be divided in two parts, 14803 and 4880, that added together give a 9-th power (19683 = 39).

The spelling of 148034880 in words is "one hundred forty-eight million, thirty-four thousand, eight hundred eighty".