Search a number
-
+
104937633 = 3313927961
BaseRepresentation
bin1100100000100…
…11100010100001
321022110101101000
412100103202201
5203331001013
614225102213
72412645423
oct620234241
9238411330
10104937633
1154264219
122b187969
1318982098
14dd18813
15932c973
hex64138a1

104937633 has 16 divisors (see below), whose sum is σ = 156587200. Its totient is φ = 69452640.

The previous prime is 104937619. The next prime is 104937641. The reversal of 104937633 is 336739401.

104937633 is a `hidden beast` number, since 10 + 4 + 9 + 3 + 7 + 633 = 666.

It is not a de Polignac number, because 104937633 - 28 = 104937377 is a prime.

It is a super-2 number, since 2×1049376332 = 22023813639285378, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (104937643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10228 + ... + 17733.

It is an arithmetic number, because the mean of its divisors is an integer number (9786700).

Almost surely, 2104937633 is an apocalyptic number.

It is an amenable number.

104937633 is a deficient number, since it is larger than the sum of its proper divisors (51649567).

104937633 is a wasteful number, since it uses less digits than its factorization.

104937633 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28109 (or 28103 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 104937633 is about 10243.9071159397. The cubic root of 104937633 is about 471.6759736843.

It can be divided in two parts, 104937 and 633, that added together give a triangular number (105570 = T459).

The spelling of 104937633 in words is "one hundred four million, nine hundred thirty-seven thousand, six hundred thirty-three".

Divisors: 1 3 9 27 139 417 1251 3753 27961 83883 251649 754947 3886579 11659737 34979211 104937633