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14971050 = 232521719103
BaseRepresentation
bin111001000111…
…000010101010
31001011121102100
4321013002222
512313033200
61252514230
7241152243
oct71070252
931147370
1014971050
1184a5a76
12501b976
133142413
141db9cca
1514aad00
hexe470aa

14971050 has 144 divisors (see below), whose sum is σ = 45264960. Its totient is φ = 3525120.

The previous prime is 14971039. The next prime is 14971079. The reversal of 14971050 is 5017941.

14971050 is nontrivially palindromic in base 13.

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 71 ways as a sum of consecutive naturals, for example, 145299 + ... + 145401.

It is an arithmetic number, because the mean of its divisors is an integer number (314340).

Almost surely, 214971050 is an apocalyptic number.

14971050 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 14971050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22632480).

14971050 is an abundant number, since it is smaller than the sum of its proper divisors (30293910).

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

14971050 is a wasteful number, since it uses less digits than its factorization.

14971050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 14971050 is about 3869.2441122266. The cubic root of 14971050 is about 246.4624456090.

Adding to 14971050 its reverse (5017941), we get a palindrome (19988991).

The spelling of 14971050 in words is "fourteen million, nine hundred seventy-one thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 17 18 19 25 30 34 38 45 50 51 57 75 85 90 95 102 103 114 150 153 170 171 190 206 225 255 285 306 309 323 342 425 450 475 510 515 570 618 646 765 850 855 927 950 969 1030 1275 1425 1530 1545 1615 1710 1751 1854 1938 1957 2550 2575 2850 2907 3090 3230 3502 3825 3914 4275 4635 4845 5150 5253 5814 5871 7650 7725 8075 8550 8755 9270 9690 9785 10506 11742 14535 15450 15759 16150 17510 17613 19570 23175 24225 26265 29070 29355 31518 33269 35226 43775 46350 48450 48925 52530 58710 66538 72675 78795 87550 88065 97850 99807 131325 145350 146775 157590 166345 176130 199614 262650 293550 299421 332690 393975 440325 499035 598842 787950 831725 880650 998070 1497105 1663450 2495175 2994210 4990350 7485525 14971050