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14106690 = 2335134019
BaseRepresentation
bin110101110100…
…000001000010
3222112200202000
4311310001002
512102403230
61222204430
7230622243
oct65640102
928480660
1014106690
117a65624
124883716
132bcbb70
141c32cca
151389b60
hexd74042

14106690 has 64 divisors (see below), whose sum is σ = 40521600. Its totient is φ = 3471552.

The previous prime is 14106689. The next prime is 14106691. The reversal of 14106690 is 9660141.

It is an interprime number because it is at equal distance from previous prime (14106689) and next prime (14106691).

It is a super-2 number, since 2×141066902 = 397997405512200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14106691) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1501 + ... + 5519.

It is an arithmetic number, because the mean of its divisors is an integer number (633150).

Almost surely, 214106690 is an apocalyptic number.

14106690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14106690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20260800).

14106690 is an abundant number, since it is smaller than the sum of its proper divisors (26414910).

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

14106690 is a wasteful number, since it uses less digits than its factorization.

14106690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4048 (or 4042 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 14106690 is about 3755.8873785032. The cubic root of 14106690 is about 241.6249112692.

It can be divided in two parts, 1410 and 6690, that added together give a square (8100 = 902).

The spelling of 14106690 in words is "fourteen million, one hundred six thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 195 234 270 351 390 585 702 1170 1755 3510 4019 8038 12057 20095 24114 36171 40190 52247 60285 72342 104494 108513 120570 156741 180855 217026 261235 313482 361710 470223 522470 542565 783705 940446 1085130 1410669 1567410 2351115 2821338 4702230 7053345 14106690