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148004000 = 2553163227
BaseRepresentation
bin10001101001001…
…01110010100000
3101022111101022122
420310211302200
5300342112000
622404123412
73445004354
oct1064456240
9338441278
10148004000
11765a9661
1241696568
1324880541
1415929464
15ced8085
hex8d25ca0

148004000 has 96 divisors (see below), whose sum is σ = 367488576. Its totient is φ = 58579200.

The previous prime is 148003981. The next prime is 148004071. The reversal of 148004000 is 400841.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 148004000.

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 15 ways as a sum of consecutive naturals, for example, 651887 + ... + 652113.

It is an arithmetic number, because the mean of its divisors is an integer number (3828006).

Almost surely, 2148004000 is an apocalyptic number.

148004000 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 148004000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183744288).

148004000 is an abundant number, since it is smaller than the sum of its proper divisors (219484576).

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

148004000 is a wasteful number, since it uses less digits than its factorization.

148004000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 397 counting only the distinct ones).

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

The square root of 148004000 is about 12165.6894584730. The cubic root of 148004000 is about 528.9620126071.

Adding to 148004000 its reverse (400841), we get a palindrome (148404841).

The spelling of 148004000 in words is "one hundred forty-eight million, four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 163 200 227 250 326 400 454 500 652 800 815 908 1000 1135 1304 1630 1816 2000 2270 2608 3260 3632 4000 4075 4540 5216 5675 6520 7264 8150 9080 11350 13040 16300 18160 20375 22700 26080 28375 32600 36320 37001 40750 45400 56750 65200 74002 81500 90800 113500 130400 148004 163000 181600 185005 227000 296008 326000 370010 454000 592016 652000 740020 908000 925025 1184032 1480040 1850050 2960080 3700100 4625125 5920160 7400200 9250250 14800400 18500500 29600800 37001000 74002000 148004000