Search a number
-
+
144690912 = 2532836053
BaseRepresentation
bin10001001111111…
…00111011100000
3101002021001121200
420213330323200
5244020102122
622205121200
73404565252
oct1047747340
9332231550
10144690912
1174746473
1240559200
1323c90532
1415305cd2
15ca815ac
hex89fcee0

144690912 has 72 divisors (see below), whose sum is σ = 416490984. Its totient is φ = 47641344.

The previous prime is 144690911. The next prime is 144690937. The reversal of 144690912 is 219096441.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144690911) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20878 + ... + 26930.

It is an arithmetic number, because the mean of its divisors is an integer number (5784597).

Almost surely, 2144690912 is an apocalyptic number.

144690912 is a gapful number since it is divisible by the number (12) 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 144690912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208245492).

144690912 is an abundant number, since it is smaller than the sum of its proper divisors (271800072).

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

144690912 is a wasteful number, since it uses less digits than its factorization.

144690912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6152 (or 6141 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 144690912 is about 12028.7535513868. The cubic root of 144690912 is about 524.9852295164.

The spelling of 144690912 in words is "one hundred forty-four million, six hundred ninety thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 83 96 144 166 249 288 332 498 664 747 996 1328 1494 1992 2656 2988 3984 5976 6053 7968 11952 12106 18159 23904 24212 36318 48424 54477 72636 96848 108954 145272 193696 217908 290544 435816 502399 581088 871632 1004798 1507197 1743264 2009596 3014394 4019192 4521591 6028788 8038384 9043182 12057576 16076768 18086364 24115152 36172728 48230304 72345456 144690912