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148100 = 22521481
BaseRepresentation
bin100100001010000100
321112011012
4210022010
514214400
63101352
71154531
oct441204
9245135
10148100
11a12a7
1271858
1352544
143bd88
152dd35
hex24284

148100 has 18 divisors (see below), whose sum is σ = 321594. Its totient is φ = 59200.

The previous prime is 148091. The next prime is 148123. The reversal of 148100 is 1841.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 6724 + 141376 = 82^2 + 376^2 .

It is a super-2 number, since 2×1481002 = 43867220000, which contains 22 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 148100.

It is an unprimeable number.

148100 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 641 + ... + 840.

2148100 is an apocalyptic number.

148100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

148100 is an abundant number, since it is smaller than the sum of its proper divisors (173494).

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

148100 is a wasteful number, since it uses less digits than its factorization.

148100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1495 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 148100 is about 384.8376280979. The cubic root of 148100 is about 52.9076354963.

Adding to 148100 its reverse (1841), we get a palindrome (149941).

The spelling of 148100 in words is "one hundred forty-eight thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1481 2962 5924 7405 14810 29620 37025 74050 148100