Base | Representation |
---|---|
bin | 10001101101100… |
… | …10011001010000 |
3 | 101100120122100000 |
4 | 20312302121100 |
5 | 301014024140 |
6 | 22424330000 |
7 | 3452623416 |
oct | 1066623120 |
9 | 340518300 |
10 | 148579920 |
11 | 76962325 |
12 | 41913900 |
13 | 24a22718 |
14 | 15a392b6 |
15 | d09da30 |
hex | 8db2650 |
148579920 has 120 divisors (see below), whose sum is σ = 517529376. Its totient is φ = 39616128.
The previous prime is 148579913. The next prime is 148579927. The reversal of 148579920 is 29975841.
It is an interprime number because it is at equal distance from previous prime (148579913) and next prime (148579927).
It is a tau number, because it is divible by the number of its divisors (120).
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (148579927) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15619 + ... + 23261.
Almost surely, 2148579920 is an apocalyptic number.
148579920 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 148579920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258764688).
148579920 is an abundant number, since it is smaller than the sum of its proper divisors (368949456).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
148579920 is an equidigital number, since it uses as much as digits as its factorization.
148579920 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 7671 (or 7653 counting only the distinct ones).
The product of its (nonzero) digits is 181440, while the sum is 45.
The square root of 148579920 is about 12189.3363231966. The cubic root of 148579920 is about 529.6472317262.
The spelling of 148579920 in words is "one hundred forty-eight million, five hundred seventy-nine thousand, nine hundred twenty".
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