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104763764 = 22723731433
BaseRepresentation
bin1100011111010…
…01000101110100
321022010112212102
412033221011310
5203304420024
614221241232
72411322500
oct617510564
9238115772
10104763764
1154155626
122b103218
1318920bc1
14dcb1300
1592e61ae
hex63e9174

104763764 has 36 divisors (see below), whose sum is σ = 213990084. Its totient is φ = 44747136.

The previous prime is 104763751. The next prime is 104763767. The reversal of 104763764 is 467367401.

It can be written as a sum of positive squares in 2 ways, for example, as 72931600 + 31832164 = 8540^2 + 5642^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104763767) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72392 + ... + 73824.

It is an arithmetic number, because the mean of its divisors is an integer number (5944169).

Almost surely, 2104763764 is an apocalyptic number.

104763764 is a gapful number since it is divisible by the number (14) 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 104763764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106995042).

104763764 is an abundant number, since it is smaller than the sum of its proper divisors (109226320).

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

104763764 is a wasteful number, since it uses less digits than its factorization.

104763764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1824 (or 1815 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 38.

The square root of 104763764 is about 10235.4171385440. The cubic root of 104763764 is about 471.4153262797.

The spelling of 104763764 in words is "one hundred four million, seven hundred sixty-three thousand, seven hundred sixty-four".

Divisors: 1 2 4 7 14 28 49 98 196 373 746 1433 1492 2611 2866 5222 5732 10031 10444 18277 20062 36554 40124 70217 73108 140434 280868 534509 1069018 2138036 3741563 7483126 14966252 26190941 52381882 104763764