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144076840 = 23531116191
BaseRepresentation
bin10001001011001…
…11000000101000
3101001002212021021
420211213000220
5243340424330
622144022224
73366430045
oct1045470050
9331085237
10144076840
1174367076
1240301974
1323b06b8b
14151c61cc
15c9ae67a
hex8967028

144076840 has 32 divisors (see below), whose sum is σ = 334632960. Its totient is φ = 55771200.

The previous prime is 144076831. The next prime is 144076847. The reversal of 144076840 is 48670441.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 144076796 and 144076805.

It is not an unprimeable number, because it can be changed into a prime (144076847) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56856 + ... + 59335.

It is an arithmetic number, because the mean of its divisors is an integer number (10457280).

Almost surely, 2144076840 is an apocalyptic number.

144076840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144076840 is an abundant number, since it is smaller than the sum of its proper divisors (190556120).

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

144076840 is a wasteful number, since it uses less digits than its factorization.

144076840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116233 (or 116229 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 34.

The square root of 144076840 is about 12003.2012396694. The cubic root of 144076840 is about 524.2414927122.

The spelling of 144076840 in words is "one hundred forty-four million, seventy-six thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 1240 116191 232382 464764 580955 929528 1161910 2323820 3601921 4647640 7203842 14407684 18009605 28815368 36019210 72038420 144076840