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101448080 = 2453734273
BaseRepresentation
bin1100000101111…
…11100110010000
321001220002121022
412002333212100
5201432314310
614022215012
72341202666
oct602774620
9231802538
10101448080
11522a0498
1229b84468
131802c966
14d68ac36
158d8da55
hex60bf990

101448080 has 40 divisors (see below), whose sum is σ = 242248632. Its totient is φ = 39481344.

The previous prime is 101448079. The next prime is 101448097. The reversal of 101448080 is 80844101.

It can be written as a sum of positive squares in 4 ways, for example, as 51208336 + 50239744 = 7156^2 + 7088^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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 7 ways as a sum of consecutive naturals, for example, 14177 + ... + 20096.

Almost surely, 2101448080 is an apocalyptic number.

101448080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101448080 is an abundant number, since it is smaller than the sum of its proper divisors (140800552).

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

101448080 is a wasteful number, since it uses less digits than its factorization.

101448080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34323 (or 34317 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

The square root of 101448080 is about 10072.1437638668. The cubic root of 101448080 is about 466.3886189480.

It can be divided in two parts, 1014 and 48080, that added together give a palindrome (49094).

The spelling of 101448080 in words is "one hundred one million, four hundred forty-eight thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1480 2960 34273 68546 137092 171365 274184 342730 548368 685460 1268101 1370920 2536202 2741840 5072404 6340505 10144808 12681010 20289616 25362020 50724040 101448080