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102964041 = 341271161
BaseRepresentation
bin1100010001100…
…01101101001001
321011202010010000
412020301231021
5202324322131
614114513213
72360115465
oct610615511
9234663100
10102964041
1153136454
122a595809
131844098b
14d9634a5
15908cce6
hex6231b49

102964041 has 10 divisors (see below), whose sum is σ = 153810602. Its totient is φ = 68642640.

The previous prime is 102964013. The next prime is 102964049. The reversal of 102964041 is 140469201.

102964041 is a `hidden beast` number, since 10 + 2 + 9 + 640 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 90326016 + 12638025 = 9504^2 + 3555^2 .

It is not a de Polignac number, because 102964041 - 26 = 102963977 is a prime.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102963996 and 102964014.

It is not an unprimeable number, because it can be changed into a prime (102964049) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 635500 + ... + 635661.

Almost surely, 2102964041 is an apocalyptic number.

It is an amenable number.

102964041 is a deficient number, since it is larger than the sum of its proper divisors (50846561).

102964041 is an equidigital number, since it uses as much as digits as its factorization.

102964041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1271173 (or 1271164 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 102964041 is about 10147.1198376682. The cubic root of 102964041 is about 468.7002584018.

The spelling of 102964041 in words is "one hundred two million, nine hundred sixty-four thousand, forty-one".

Divisors: 1 3 9 27 81 1271161 3813483 11440449 34321347 102964041