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144435420 = 22335377229
BaseRepresentation
bin10001001101111…
…10100011011100
3101001210002011000
420212332203130
5243433413140
622155430300
73402452343
oct1046764334
9331702130
10144435420
1174591518
1240455390
1323c0115c
141527ab5a
15ca30a30
hex89be8dc

144435420 has 96 divisors (see below), whose sum is σ = 461563200. Its totient is φ = 37469952.

The previous prime is 144435413. The next prime is 144435433. The reversal of 144435420 is 24534441.

It is a happy number.

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

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, 16366 + ... + 23594.

It is an arithmetic number, because the mean of its divisors is an integer number (4807950).

Almost surely, 2144435420 is an apocalyptic number.

144435420 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 144435420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230781600).

144435420 is an abundant number, since it is smaller than the sum of its proper divisors (317127780).

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

144435420 is a wasteful number, since it uses less digits than its factorization.

144435420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7284 (or 7276 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 144435420 is about 12018.1288060996. The cubic root of 144435420 is about 524.6760450404.

Adding to 144435420 its reverse (24534441), we get a palindrome (168969861).

It can be divided in two parts, 1444 and 35420, that added together give a square (36864 = 1922).

The spelling of 144435420 in words is "one hundred forty-four million, four hundred thirty-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 37 45 54 60 74 90 108 111 135 148 180 185 222 270 333 370 444 540 555 666 740 999 1110 1332 1665 1998 2220 3330 3996 4995 6660 7229 9990 14458 19980 21687 28916 36145 43374 65061 72290 86748 108435 130122 144580 195183 216870 260244 267473 325305 390366 433740 534946 650610 780732 802419 975915 1069892 1301220 1337365 1604838 1951830 2407257 2674730 3209676 3903660 4012095 4814514 5349460 7221771 8024190 9629028 12036285 14443542 16048380 24072570 28887084 36108855 48145140 72217710 144435420