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148899600 = 24335217811
BaseRepresentation
bin10001110000000…
…00011100010000
3101101011212212000
420320000130100
5301104241400
622435234000
73455424423
oct1070003420
9341155760
10148899600
1177060523
1241a48900
1324b05095
1415abd9ba
15d113600
hex8e00710

148899600 has 240 divisors, whose sum is σ = 561839040. Its totient is φ = 37324800.

The previous prime is 148899587. The next prime is 148899623. The reversal of 148899600 is 6998841.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 183195 + ... + 184005.

It is an arithmetic number, because the mean of its divisors is an integer number (2340996).

Almost surely, 2148899600 is an apocalyptic number.

148899600 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 148899600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280919520).

148899600 is an abundant number, since it is smaller than the sum of its proper divisors (412939440).

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

148899600 is a wasteful number, since it uses less digits than its factorization.

148899600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 148899600 is about 12202.4423784749. The cubic root of 148899600 is about 530.0268172025.

The spelling of 148899600 in words is "one hundred forty-eight million, eight hundred ninety-nine thousand, six hundred".