Search a number
-
+
102546431 = 1317464011
BaseRepresentation
bin1100001110010…
…11101111111111
321010221220020222
412013023233333
5202222441211
614101531555
72353426121
oct607135777
9233856228
10102546431
1152980719
122a413bbb
1318325880
14d895211
1590091db
hex61cbbff

102546431 has 8 divisors (see below), whose sum is σ = 116931024. Its totient is φ = 89089920.

The previous prime is 102546421. The next prime is 102546559. The reversal of 102546431 is 134645201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102546431 - 222 = 98352127 is a prime.

It is a super-2 number, since 2×1025464312 = 21031541021675522, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102546431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102546421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 231785 + ... + 232226.

It is an arithmetic number, because the mean of its divisors is an integer number (14616378).

Almost surely, 2102546431 is an apocalyptic number.

102546431 is a deficient number, since it is larger than the sum of its proper divisors (14384593).

102546431 is a wasteful number, since it uses less digits than its factorization.

102546431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464041.

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 102546431 is about 10126.5211696811. The cubic root of 102546431 is about 468.0657354640.

The spelling of 102546431 in words is "one hundred two million, five hundred forty-six thousand, four hundred thirty-one".

Divisors: 1 13 17 221 464011 6032143 7888187 102546431