Search a number
-
+
14972700 = 22352291721
BaseRepresentation
bin111001000111…
…011100011100
31001011200200110
4321013130130
512313111300
61252530020
7241160121
oct71073434
931150613
1014972700
1184a7236
125020910
1331430b2
141dba748
1514ab550
hexe4771c

14972700 has 72 divisors (see below), whose sum is σ = 44840880. Its totient is φ = 3852800.

The previous prime is 14972689. The next prime is 14972731. The reversal of 14972700 is 727941.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7840 + ... + 9560.

It is an arithmetic number, because the mean of its divisors is an integer number (622790).

Almost surely, 214972700 is an apocalyptic number.

14972700 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 14972700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22420440).

14972700 is an abundant number, since it is smaller than the sum of its proper divisors (29868180).

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

14972700 is a wasteful number, since it uses less digits than its factorization.

14972700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1767 (or 1760 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 14972700 is about 3869.4573262927. The cubic root of 14972700 is about 246.4714997078.

The spelling of 14972700 in words is "fourteen million, nine hundred seventy-two thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 100 116 145 150 174 290 300 348 435 580 725 870 1450 1721 1740 2175 2900 3442 4350 5163 6884 8605 8700 10326 17210 20652 25815 34420 43025 49909 51630 86050 99818 103260 129075 149727 172100 199636 249545 258150 299454 499090 516300 598908 748635 998180 1247725 1497270 2495450 2994540 3743175 4990900 7486350 14972700