Search a number
-
+
104857680 = 2435676521
BaseRepresentation
bin1100100000000…
…00000001010000
321022022022200210
412100000001100
5203320421210
614223244120
72412163344
oct620000120
9238268623
10104857680
115420a144
122b149640
1318954885
14dcd7624
159313e20
hex6400050

104857680 has 80 divisors (see below), whose sum is σ = 329961024. Its totient is φ = 27540480.

The previous prime is 104857639. The next prime is 104857681. The reversal of 104857680 is 86758401.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104857681) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 12820 + ... + 19340.

Almost surely, 2104857680 is an apocalyptic number.

104857680 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 104857680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164980512).

104857680 is an abundant number, since it is smaller than the sum of its proper divisors (225103344).

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

104857680 is a wasteful number, since it uses less digits than its factorization.

104857680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6604 (or 6598 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 104857680 is about 10240.0039062493. The cubic root of 104857680 is about 471.5561517488.

The spelling of 104857680 in words is "one hundred four million, eight hundred fifty-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 67 80 120 134 201 240 268 335 402 536 670 804 1005 1072 1340 1608 2010 2680 3216 4020 5360 6521 8040 13042 16080 19563 26084 32605 39126 52168 65210 78252 97815 104336 130420 156504 195630 260840 313008 391260 436907 521680 782520 873814 1310721 1565040 1747628 2184535 2621442 3495256 4369070 5242884 6553605 6990512 8738140 10485768 13107210 17476280 20971536 26214420 34952560 52428840 104857680