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10159164 = 22322937263
BaseRepresentation
bin100110110000…
…010000111100
3201010010202100
4212300100330
510100043124
61001425100
7152231361
oct46602074
921103670
1010159164
115809804
12349b190
132149152
1414c6468
15d5a1c9
hex9b043c

10159164 has 72 divisors (see below), whose sum is σ = 27387360. Its totient is φ = 3169152.

The previous prime is 10159159. The next prime is 10159187. The reversal of 10159164 is 46195101.

10159164 is a `hidden beast` number, since 10 + 1 + 591 + 64 = 666.

It is a super-2 number, since 2×101591642 = 206417226357792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38497 + ... + 38759.

It is an arithmetic number, because the mean of its divisors is an integer number (380380).

Almost surely, 210159164 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10159164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13693680).

10159164 is an abundant number, since it is smaller than the sum of its proper divisors (17228196).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10159164 is a wasteful number, since it uses less digits than its factorization.

10159164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 334 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 10159164 is about 3187.3443491408. The cubic root of 10159164 is about 216.5804859096.

The spelling of 10159164 in words is "ten million, one hundred fifty-nine thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 29 36 37 58 74 87 111 116 148 174 222 261 263 333 348 444 522 526 666 789 1044 1052 1073 1332 1578 2146 2367 3156 3219 4292 4734 6438 7627 9468 9657 9731 12876 15254 19314 19462 22881 29193 30508 38628 38924 45762 58386 68643 87579 91524 116772 137286 175158 274572 282199 350316 564398 846597 1128796 1693194 2539791 3386388 5079582 10159164