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120144420 = 223251160679
BaseRepresentation
bin1110010100101…
…00001000100100
322101001222011100
413022110020210
5221224110140
615531040100
72656132164
oct712241044
9271058140
10120144420
1161900310
12342a0030
131bb77896
1411d565a4
15a833530
hex7294224

120144420 has 72 divisors (see below), whose sum is σ = 397575360. Its totient is φ = 29125440.

The previous prime is 120144383. The next prime is 120144421. The reversal of 120144420 is 24441021.

120144420 is a `hidden beast` number, since 1 + 201 + 44 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 120144393 and 120144402.

It is not an unprimeable number, because it can be changed into a prime (120144421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28360 + ... + 32319.

It is an arithmetic number, because the mean of its divisors is an integer number (5521880).

Almost surely, 2120144420 is an apocalyptic number.

120144420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120144420 is an abundant number, since it is smaller than the sum of its proper divisors (277430940).

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

120144420 is a wasteful number, since it uses less digits than its factorization.

120144420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60705 (or 60700 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 120144420 is about 10961.0410089553. The cubic root of 120144420 is about 493.4402079547.

Adding to 120144420 its reverse (24441021), we get a palindrome (144585441).

The spelling of 120144420 in words is "one hundred twenty million, one hundred forty-four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 60679 121358 182037 242716 303395 364074 546111 606790 667469 728148 910185 1092222 1213580 1334938 1820370 2002407 2184444 2669876 2730555 3337345 3640740 4004814 5461110 6007221 6674690 8009628 10012035 10922220 12014442 13349380 20024070 24028884 30036105 40048140 60072210 120144420