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10149971 = 1321929109
BaseRepresentation
bin100110101110…
…000001010011
3201002200010212
4212232001103
510044244341
61001314335
7152162516
oct46560123
921080125
1010149971
115802907
1234959ab
132144c00
1414c2d7d
15d575eb
hex9ae053

10149971 has 24 divisors (see below), whose sum is σ = 12078000. Its totient is φ = 8491392.

The previous prime is 10149961. The next prime is 10150013. The reversal of 10149971 is 17994101.

It is a happy number.

It is not a de Polignac number, because 10149971 - 26 = 10149907 is a prime.

It is a super-2 number, since 2×101499712 = 206043822601682, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10149911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93065 + ... + 93173.

It is an arithmetic number, because the mean of its divisors is an integer number (503250).

Almost surely, 210149971 is an apocalyptic number.

10149971 is a deficient number, since it is larger than the sum of its proper divisors (1928029).

10149971 is a wasteful number, since it uses less digits than its factorization.

10149971 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 32.

The square root of 10149971 is about 3185.9019131166. The cubic root of 10149971 is about 216.5151384963.

The spelling of 10149971 in words is "ten million, one hundred forty-nine thousand, nine hundred seventy-one".

Divisors: 1 13 19 29 109 169 247 377 551 1417 2071 3161 3211 4901 7163 18421 26923 41093 60059 93119 349999 534209 780767 10149971