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148730400 = 253252713227
BaseRepresentation
bin10001101110101…
…11001000100000
3101100212021202100
420313113020200
5301033333100
622431450400
73454121220
oct1067271040
9340767670
10148730400
1176a55395
1241986a00
1324a76070
1415a78080
15d0cd400
hex8dd7220

148730400 has 432 divisors, whose sum is σ = 648333504. Its totient is φ = 31242240.

The previous prime is 148730389. The next prime is 148730429. The reversal of 148730400 is 4037841.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 655087 + ... + 655313.

It is an arithmetic number, because the mean of its divisors is an integer number (1500772).

Almost surely, 2148730400 is an apocalyptic number.

148730400 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 148730400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324166752).

148730400 is an abundant number, since it is smaller than the sum of its proper divisors (499603104).

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

148730400 is a wasteful number, since it uses less digits than its factorization.

148730400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 148730400 is about 12195.5073695193. The cubic root of 148730400 is about 529.8259782300.

The spelling of 148730400 in words is "one hundred forty-eight million, seven hundred thirty thousand, four hundred".