Search a number
-
+
14672910 = 2357107653
BaseRepresentation
bin110111111110…
…010000001110
31000121110110010
4313332100032
512224013120
61242254050
7235501110
oct67762016
930543403
1014672910
118311a7a
124ab7326
1330697c5
141d3d3b0
15144c7e0
hexdfe40e

14672910 has 64 divisors (see below), whose sum is σ = 40684032. Its totient is φ = 3317376.

The previous prime is 14672909. The next prime is 14672939. The reversal of 14672910 is 1927641.

14672910 = T2044 + T2045 + ... + T2050.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22144 + ... + 22796.

It is an arithmetic number, because the mean of its divisors is an integer number (635688).

Almost surely, 214672910 is an apocalyptic number.

14672910 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 14672910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20342016).

14672910 is an abundant number, since it is smaller than the sum of its proper divisors (26011122).

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

14672910 is a wasteful number, since it uses less digits than its factorization.

14672910 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777.

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 14672910 is about 3830.5234629225. The cubic root of 14672910 is about 244.8154100364.

The spelling of 14672910 in words is "fourteen million, six hundred seventy-two thousand, nine hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 107 210 214 321 535 642 653 749 1070 1306 1498 1605 1959 2247 3210 3265 3745 3918 4494 4571 6530 7490 9142 9795 11235 13713 19590 22470 22855 27426 45710 68565 69871 137130 139742 209613 349355 419226 489097 698710 978194 1048065 1467291 2096130 2445485 2934582 4890970 7336455 14672910