Search a number
-
+
14701000 = 235361241
BaseRepresentation
bin111000000101…
…000111001000
31000122212222111
4320011013020
512230413000
61243032104
7235646026
oct70050710
930585874
1014701000
118331096
124b0b634
133079522
141d49716
151455cba
hexe051c8

14701000 has 64 divisors (see below), whose sum is σ = 35109360. Its totient is φ = 5760000.

The previous prime is 14700977. The next prime is 14701019. The reversal of 14701000 is 10741.

It can be written as a sum of positive squares in 8 ways, for example, as 1444 + 14699556 = 38^2 + 3834^2 .

It is a super-2 number, since 2×147010002 = 432238802000000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60880 + ... + 61120.

Almost surely, 214701000 is an apocalyptic number.

14701000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14701000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17554680).

14701000 is an abundant number, since it is smaller than the sum of its proper divisors (20408360).

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

14701000 is a wasteful number, since it uses less digits than its factorization.

14701000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 13.

The square root of 14701000 is about 3834.1883104511. The cubic root of 14701000 is about 244.9715363295.

Adding to 14701000 its reverse (10741), we get a palindrome (14711741).

The spelling of 14701000 in words is "fourteen million, seven hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 122 125 200 241 244 250 305 482 488 500 610 964 1000 1205 1220 1525 1928 2410 2440 3050 4820 6025 6100 7625 9640 12050 12200 14701 15250 24100 29402 30125 30500 48200 58804 60250 61000 73505 117608 120500 147010 241000 294020 367525 588040 735050 1470100 1837625 2940200 3675250 7350500 14701000