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17141940 = 2232595233
BaseRepresentation
bin100000101100…
…1000010110100
31012020220022200
41001121002310
513342020230
61411224500
7265463334
oct101310264
935226280
1017141940
119748aa2
1258a8130
13372257a
1423c30c4
151789160
hex10590b4

17141940 has 36 divisors (see below), whose sum is σ = 51997764. Its totient is φ = 4571136.

The previous prime is 17141939. The next prime is 17141941. The reversal of 17141940 is 4914171.

It is an interprime number because it is at equal distance from previous prime (17141939) and next prime (17141941).

It can be written as a sum of positive squares in 2 ways, for example, as 5280804 + 11861136 = 2298^2 + 3444^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×171419402 = 587692213927200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17141941) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47437 + ... + 47796.

Almost surely, 217141940 is an apocalyptic number.

17141940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

17141940 is an abundant number, since it is smaller than the sum of its proper divisors (34855824).

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

17141940 is a wasteful number, since it uses less digits than its factorization.

17141940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95248 (or 95243 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 17141940 is about 4140.2825990505. The cubic root of 17141940 is about 257.8417995351.

It can be divided in two parts, 17141 and 940, that added together give a palindrome (18081).

The spelling of 17141940 in words is "seventeen million, one hundred forty-one thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 95233 190466 285699 380932 476165 571398 857097 952330 1142796 1428495 1714194 1904660 2856990 3428388 4285485 5713980 8570970 17141940