Search a number
-
+
104982696 = 23337313109
BaseRepresentation
bin1100100000111…
…10100010101000
321022112200012000
412100132202220
5203333421241
614230051000
72413224000
oct620364250
9238480160
10104982696
1154295065
122b1a9a60
1318999750
14dd2b000
15933aeb6
hex641e8a8

104982696 has 256 divisors, whose sum is σ = 369600000. Its totient is φ = 27433728.

The previous prime is 104982643. The next prime is 104982707. The reversal of 104982696 is 696289401.

It is a happy number.

It is a super-2 number, since 2×1049826962 = 22042732918856832, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 963090 + ... + 963198.

It is an arithmetic number, because the mean of its divisors is an integer number (1443750).

Almost surely, 2104982696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104982696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184800000).

104982696 is an abundant number, since it is smaller than the sum of its proper divisors (264617304).

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

104982696 is a wasteful number, since it uses less digits than its factorization.

104982696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 104982696 is about 10246.1063824264. The cubic root of 104982696 is about 471.7434807423.

The spelling of 104982696 in words is "one hundred four million, nine hundred eighty-two thousand, six hundred ninety-six".