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148047100 = 22528317837
BaseRepresentation
bin10001101001100…
…00010011111100
3101022120120102221
420310300103330
5300400001400
622405055124
73445244125
oct1064602374
9338516387
10148047100
1176628a83
12416b74a4
1324897046
141593b04c
15cee5c1a
hex8d304fc

148047100 has 36 divisors (see below), whose sum is σ = 325151064. Its totient is φ = 58502080.

The previous prime is 148047091. The next prime is 148047121. The reversal of 148047100 is 1740841.

It is a super-3 number, since 3×1480471003 (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 619 + ... + 17218.

It is an arithmetic number, because the mean of its divisors is an integer number (9031974).

Almost surely, 2148047100 is an apocalyptic number.

148047100 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 148047100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162575532).

148047100 is an abundant number, since it is smaller than the sum of its proper divisors (177103964).

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

148047100 is a wasteful number, since it uses less digits than its factorization.

148047100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17934 (or 17927 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 148047100 is about 12167.4607046828. The cubic root of 148047100 is about 529.0133536746.

Adding to 148047100 its reverse (1740841), we get a palindrome (149787941).

It can be divided in two parts, 14804 and 7100, that added together give a square (21904 = 1482).

The spelling of 148047100 in words is "one hundred forty-eight million, forty-seven thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 83 100 166 332 415 830 1660 2075 4150 8300 17837 35674 71348 89185 178370 356740 445925 891850 1480471 1783700 2960942 5921884 7402355 14804710 29609420 37011775 74023550 148047100