Search a number
-
+
14987973 = 37211132331
BaseRepresentation
bin111001001011…
…001011000101
31001012110122010
4321023023011
512314103343
61253124433
7241252500
oct71131305
931173563
1014987973
118507760
125029719
13314a030
141dc2137
1514b0d33
hexe4b2c5

14987973 has 96 divisors (see below), whose sum is σ = 29417472. Its totient is φ = 6652800.

The previous prime is 14987969. The next prime is 14987977. The reversal of 14987973 is 37978941.

14987973 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14987969) and next prime (14987977).

It is not a de Polignac number, because 14987973 - 22 = 14987969 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14987977) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 483468 + ... + 483498.

It is an arithmetic number, because the mean of its divisors is an integer number (306432).

Almost surely, 214987973 is an apocalyptic number.

14987973 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

14987973 is a deficient number, since it is larger than the sum of its proper divisors (14429499).

14987973 is a wasteful number, since it uses less digits than its factorization.

14987973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 88 counting only the distinct ones).

The product of its digits is 381024, while the sum is 48.

The square root of 14987973 is about 3871.4303558246. The cubic root of 14987973 is about 246.5552761806. Note that the first 3 decimals are identical.

The spelling of 14987973 in words is "fourteen million, nine hundred eighty-seven thousand, nine hundred seventy-three".

Divisors: 1 3 7 11 13 21 23 31 33 39 49 69 77 91 93 143 147 161 217 231 253 273 299 341 403 429 483 539 637 651 713 759 897 1001 1023 1127 1209 1519 1617 1771 1911 2093 2139 2387 2821 3003 3289 3381 4433 4557 4991 5313 6279 7007 7161 7843 8463 9269 9867 12397 13299 14651 14973 16709 19747 21021 23023 23529 27807 31031 34937 37191 43953 50127 54901 59241 64883 69069 93093 101959 104811 161161 164703 194649 217217 305877 384307 454181 483483 651651 713713 1152921 1362543 2141139 4995991 14987973