Search a number
-
+
144432420 = 223511534129
BaseRepresentation
bin10001001101111…
…01110100100100
3101001202221000220
420212331310210
5243433314140
622155404340
73402440526
oct1046756444
9331687026
10144432420
117458a240
12404536b0
1323bcc992
1415279a16
15ca2ebd0
hex89bdd24

144432420 has 96 divisors (see below), whose sum is σ = 449608320. Its totient is φ = 34344960.

The previous prime is 144432403. The next prime is 144432427. The reversal of 144432420 is 24234441.

It is a happy number.

144432420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (144432427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32916 + ... + 37044.

It is an arithmetic number, because the mean of its divisors is an integer number (4683420).

Almost surely, 2144432420 is an apocalyptic number.

144432420 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 144432420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224804160).

144432420 is an abundant number, since it is smaller than the sum of its proper divisors (305175900).

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

144432420 is a wasteful number, since it uses less digits than its factorization.

144432420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4205 (or 4203 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 144432420 is about 12018.0039940083. The cubic root of 144432420 is about 524.6724124157.

Adding to 144432420 its reverse (24234441), we get a palindrome (168666861).

The spelling of 144432420 in words is "one hundred forty-four million, four hundred thirty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 53 55 60 66 106 110 132 159 165 212 220 265 318 330 530 583 636 660 795 1060 1166 1590 1749 2332 2915 3180 3498 4129 5830 6996 8258 8745 11660 12387 16516 17490 20645 24774 34980 41290 45419 49548 61935 82580 90838 123870 136257 181676 218837 227095 247740 272514 437674 454190 545028 656511 681285 875348 908380 1094185 1313022 1362570 2188370 2407207 2626044 2725140 3282555 4376740 4814414 6565110 7221621 9628828 12036035 13130220 14443242 24072070 28886484 36108105 48144140 72216210 144432420