Search a number
-
+
14973000 = 2335372331
BaseRepresentation
bin111001000111…
…100001001000
31001011201002120
4321013201020
512313114000
61252531240
7241161030
oct71074110
931151076
1014973000
1184a7489
125020b20
133143283
141dba8c0
1514ab6a0
hexe47848

14973000 has 256 divisors, whose sum is σ = 57507840. Its totient is φ = 3168000.

The previous prime is 14972983. The next prime is 14973011. The reversal of 14973000 is 37941.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 482985 + ... + 483015.

It is an arithmetic number, because the mean of its divisors is an integer number (224640).

Almost surely, 214973000 is an apocalyptic number.

14973000 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 14973000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28753920).

14973000 is an abundant number, since it is smaller than the sum of its proper divisors (42534840).

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

14973000 is a wasteful number, since it uses less digits than its factorization.

14973000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 14973000 is about 3869.4960912243. The cubic root of 14973000 is about 246.4731458361.

The spelling of 14973000 in words is "fourteen million, nine hundred seventy-three thousand".