Search a number
-
+
13414950 = 2335219523
BaseRepresentation
bin110011001011…
…001000100110
3221020112212000
4303023020212
511413234300
61155310130
7222011433
oct63131046
927215760
1013414950
11763293a
1245ab346
132a19053
141ad2b8a
15129ec00
hexccb226

13414950 has 96 divisors (see below), whose sum is σ = 38985600. Its totient is φ = 3382560.

The previous prime is 13414949. The next prime is 13414963. The reversal of 13414950 is 5941431.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 25389 + ... + 25911.

It is an arithmetic number, because the mean of its divisors is an integer number (406100).

Almost surely, 213414950 is an apocalyptic number.

13414950 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 13414950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19492800).

13414950 is an abundant number, since it is smaller than the sum of its proper divisors (25570650).

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

13414950 is a wasteful number, since it uses less digits than its factorization.

13414950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 563 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 13414950 is about 3662.6424886958. The cubic root of 13414950 is about 237.6090727073.

The spelling of 13414950 in words is "thirteen million, four hundred fourteen thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 19 25 27 30 38 45 50 54 57 75 90 95 114 135 150 171 190 225 270 285 342 450 475 513 523 570 675 855 950 1026 1046 1350 1425 1569 1710 2565 2615 2850 3138 4275 4707 5130 5230 7845 8550 9414 9937 12825 13075 14121 15690 19874 23535 25650 26150 28242 29811 39225 47070 49685 59622 70605 78450 89433 99370 117675 141210 149055 178866 235350 248425 268299 298110 353025 447165 496850 536598 706050 745275 894330 1341495 1490550 2235825 2682990 4471650 6707475 13414950