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104435641 = 17329733
BaseRepresentation
bin1100011100110…
…00111110111001
321021111212202201
412032120332321
5203213420031
614210230201
72405455042
oct616307671
9237455681
10104435641
1153a51052
122ab85361
131883774b
14dc278c9
15927dd61
hex6398fb9

104435641 has 16 divisors (see below), whose sum is σ = 114944400. Its totient is φ = 94773504.

The previous prime is 104435633. The next prime is 104435671. The reversal of 104435641 is 146534401.

It can be written as a sum of positive squares in 8 ways, for example, as 14470416 + 89965225 = 3804^2 + 9485^2 .

It is not a de Polignac number, because 104435641 - 23 = 104435633 is a prime.

It is a super-2 number, since 2×1044356412 = 21813606222161762, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (104435671) 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, 142111 + ... + 142843.

It is an arithmetic number, because the mean of its divisors is an integer number (7184025).

Almost surely, 2104435641 is an apocalyptic number.

It is an amenable number.

104435641 is a deficient number, since it is larger than the sum of its proper divisors (10508759).

104435641 is an frugal number, since it uses more digits than its factorization.

104435641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 104435641 is about 10219.3757637147. The cubic root of 104435641 is about 470.9226496250.

The spelling of 104435641 in words is "one hundred four million, four hundred thirty-five thousand, six hundred forty-one".

Divisors: 1 17 29 289 493 733 4913 8381 12461 21257 142477 211837 361369 3601229 6143273 104435641