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144540840 = 23351204507
BaseRepresentation
bin10001001110110…
…00010010101000
3101001222102202110
420213120102220
5244000301330
622202002320
73403401603
oct1047302250
9331872673
10144540840
1174653744
12404a63a0
1323c3a132
14152a733a
15ca51db0
hex89d84a8

144540840 has 32 divisors (see below), whose sum is σ = 433622880. Its totient is φ = 38544192.

The previous prime is 144540829. The next prime is 144540853. The reversal of 144540840 is 48045441.

144540840 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 144540798 and 144540807.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 602134 + ... + 602373.

It is an arithmetic number, because the mean of its divisors is an integer number (13550715).

Almost surely, 2144540840 is an apocalyptic number.

144540840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144540840 is an abundant number, since it is smaller than the sum of its proper divisors (289082040).

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

144540840 is a wasteful number, since it uses less digits than its factorization.

144540840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1204521 (or 1204517 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

The square root of 144540840 is about 12022.5138802166. The cubic root of 144540840 is about 524.8036635458.

The spelling of 144540840 in words is "one hundred forty-four million, five hundred forty thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1204507 2409014 3613521 4818028 6022535 7227042 9636056 12045070 14454084 18067605 24090140 28908168 36135210 48180280 72270420 144540840