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17140968 = 23321318313
BaseRepresentation
bin100000101100…
…0110011101000
31012020211222200
41001120303220
513342002333
61411220200
7265460445
oct101306350
935224880
1017140968
119748299
1258a7660
133721cb0
1423c29cc
151788c13
hex1058ce8

17140968 has 48 divisors (see below), whose sum is σ = 49997220. Its totient is φ = 5273856.

The previous prime is 17140933. The next prime is 17141009. The reversal of 17140968 is 86904171.

It can be written as a sum of positive squares in 2 ways, for example, as 15350724 + 1790244 = 3918^2 + 1338^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8221 + ... + 10092.

Almost surely, 217140968 is an apocalyptic number.

17140968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

17140968 is an abundant number, since it is smaller than the sum of its proper divisors (32856252).

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

17140968 is a wasteful number, since it uses less digits than its factorization.

17140968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18338 (or 18331 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 17140968 is about 4140.1652140947. The cubic root of 17140968 is about 257.8369259722.

The spelling of 17140968 in words is "seventeen million, one hundred forty thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 18313 36626 54939 73252 109878 146504 164817 219756 238069 329634 439512 476138 659268 714207 952276 1318536 1428414 1904552 2142621 2856828 4285242 5713656 8570484 17140968