Search a number
-
+
101485080 = 233251937401
BaseRepresentation
bin1100000110010…
…00101000011000
321001221222100200
412003020220120
5201440010310
614023102200
72341415604
oct603105030
9231858320
10101485080
1152316274
1229ba1960
1318043758
14d69a504
158d999c0
hex60c8a18

101485080 has 192 divisors, whose sum is σ = 357458400. Its totient is φ = 24883200.

The previous prime is 101485067. The next prime is 101485081. The reversal of 101485080 is 80584101.

101485080 is a `hidden beast` number, since 10 + 148 + 508 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101485081) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 252880 + ... + 253280.

Almost surely, 2101485080 is an apocalyptic number.

101485080 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 101485080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178729200).

101485080 is an abundant number, since it is smaller than the sum of its proper divisors (255973320).

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

101485080 is a wasteful number, since it uses less digits than its factorization.

101485080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 101485080 is about 10073.9803454245. The cubic root of 101485080 is about 466.4453122549.

The spelling of 101485080 in words is "one hundred one million, four hundred eighty-five thousand, eighty".