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144120460 = 225112572549
BaseRepresentation
bin10001001011100…
…01101010001100
3101001012002002211
420211301222030
5243343323320
622145000204
73400001161
oct1045615214
9331162084
10144120460
1174396920
1240323064
1323b209a3
14151d8068
15c9bc55a
hex8971a8c

144120460 has 48 divisors (see below), whose sum is σ = 331581600. Its totient is φ = 52183040.

The previous prime is 144120451. The next prime is 144120467. The reversal of 144120460 is 64021441.

It is a super-2 number, since 2×1441204602 = 41541413981223200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (144120467) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55266 + ... + 57814.

It is an arithmetic number, because the mean of its divisors is an integer number (6907950).

Almost surely, 2144120460 is an apocalyptic number.

144120460 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 144120460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165790800).

144120460 is an abundant number, since it is smaller than the sum of its proper divisors (187461140).

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

144120460 is a wasteful number, since it uses less digits than its factorization.

144120460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2826 (or 2824 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 144120460 is about 12005.0181174374. The cubic root of 144120460 is about 524.2943929715.

The spelling of 144120460 in words is "one hundred forty-four million, one hundred twenty thousand, four hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 257 514 1028 1285 2549 2570 2827 5098 5140 5654 10196 11308 12745 14135 25490 28039 28270 50980 56078 56540 112156 140195 280390 560780 655093 1310186 2620372 3275465 6550930 7206023 13101860 14412046 28824092 36030115 72060230 144120460