Search a number
-
+
104011776 = 211351119
BaseRepresentation
bin1100011001100…
…01100000000000
321020201100100000
412030301200000
5203111334101
614153200000
72402041221
oct614614000
9236640300
10104011776
1153791650
122aa00000
131871983b
14db57248
1591e8486
hex6331800

104011776 has 288 divisors, whose sum is σ = 357739200. Its totient is φ = 29859840.

The previous prime is 104011759. The next prime is 104011783. The reversal of 104011776 is 677110401.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5474295 + ... + 5474313.

It is an arithmetic number, because the mean of its divisors is an integer number (1242150).

Almost surely, 2104011776 is an apocalyptic number.

104011776 is a gapful number since it is divisible by the number (16) 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 104011776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178869600).

104011776 is an abundant number, since it is smaller than the sum of its proper divisors (253727424).

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

104011776 is an equidigital number, since it uses as much as digits as its factorization.

104011776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The square root of 104011776 is about 10198.6163767444. The cubic root of 104011776 is about 470.2846864366.

The spelling of 104011776 in words is "one hundred four million, eleven thousand, seven hundred seventy-six".