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148690080 = 25345711149
BaseRepresentation
bin10001101110011…
…01010010100000
3101100210020110000
420313031102200
5301031040310
622430540000
73453562530
oct1067152240
9340706400
10148690080
1176a28070
1241967600
1324a608c6
1415a674c0
15d0c14c0
hex8dcd4a0

148690080 has 480 divisors, whose sum is σ = 658627200. Its totient is φ = 30689280.

The previous prime is 148690057. The next prime is 148690081. The reversal of 148690080 is 80096841.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148690081) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 997846 + ... + 997994.

It is an arithmetic number, because the mean of its divisors is an integer number (1372140).

Almost surely, 2148690080 is an apocalyptic number.

148690080 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 148690080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329313600).

148690080 is an abundant number, since it is smaller than the sum of its proper divisors (509937120).

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

148690080 is a wasteful number, since it uses less digits than its factorization.

148690080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 148690080 is about 12193.8541897138. The cubic root of 148690080 is about 529.7780962588.

The spelling of 148690080 in words is "one hundred forty-eight million, six hundred ninety thousand, eighty".