Search a number
-
+
14794002 = 234294767
BaseRepresentation
bin111000011011…
…110100010010
31000211121120000
4320123310102
512241402002
61245030430
7236514126
oct70336422
930747500
1014794002
118394a53
124b55416
1330ac962
141d71586
15147361c
hexe1bd12

14794002 has 80 divisors (see below), whose sum is σ = 35544960. Its totient is φ = 4590432.

The previous prime is 14794001. The next prime is 14794007. The reversal of 14794002 is 20049741.

It is a happy number.

14794002 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 a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (14794001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 220773 + ... + 220839.

It is an arithmetic number, because the mean of its divisors is an integer number (444312).

Almost surely, 214794002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14794002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17772480).

14794002 is an abundant number, since it is smaller than the sum of its proper divisors (20750958).

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

14794002 is a wasteful number, since it uses less digits than its factorization.

14794002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 14794002 is about 3846.2971804061. The cubic root of 14794002 is about 245.4870334102.

It can be divided in two parts, 147 and 94002, that added together give a palindrome (94149).

The spelling of 14794002 in words is "fourteen million, seven hundred ninety-four thousand, two".

Divisors: 1 2 3 6 9 18 27 29 47 54 58 67 81 87 94 134 141 162 174 201 261 282 402 423 522 603 783 846 1206 1269 1363 1566 1809 1943 2349 2538 2726 3149 3618 3807 3886 4089 4698 5427 5829 6298 7614 8178 9447 10854 11658 12267 17487 18894 24534 28341 34974 36801 52461 56682 73602 85023 91321 104922 110403 157383 170046 182642 220806 255069 273963 314766 510138 547926 821889 1643778 2465667 4931334 7397001 14794002