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148040000 = 26543701
BaseRepresentation
bin10001101001011…
…10100101000000
3101022120012200222
420310232211000
5300344240000
622405002212
73445214333
oct1064564500
9338505628
10148040000
1176623709
12416b3368
1324893a44
141593861a
15cee3a85
hex8d2e940

148040000 has 70 divisors (see below), whose sum is σ = 367190274. Its totient is φ = 59200000.

The previous prime is 148039999. The next prime is 148040021. The reversal of 148040000 is 40841.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 65157184 + 82882816 = 8072^2 + 9104^2 .

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 9 ways as a sum of consecutive naturals, for example, 38150 + ... + 41850.

Almost surely, 2148040000 is an apocalyptic number.

148040000 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 148040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183595137).

148040000 is an abundant number, since it is smaller than the sum of its proper divisors (219150274).

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

148040000 is an frugal number, since it uses more digits than its factorization.

148040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3733 (or 3708 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 148040000 is about 12167.1689394041. The cubic root of 148040000 is about 529.0048967830.

Adding to 148040000 its reverse (40841), we get a palindrome (148080841).

The spelling of 148040000 in words is "one hundred forty-eight million, forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 3701 4000 5000 7402 8000 10000 14804 18505 20000 29608 37010 40000 59216 74020 92525 118432 148040 185050 236864 296080 370100 462625 592160 740200 925250 1184320 1480400 1850500 2313125 2960800 3701000 4626250 5921600 7402000 9252500 14804000 18505000 29608000 37010000 74020000 148040000