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144190260 = 2233517113139
BaseRepresentation
bin10001001100000…
…10101100110100
3101001022121212000
420212002230310
5243403042020
622150255300
73400411524
oct1046025464
9331277760
10144190260
1174434305
1240357530
1323b466a6
1415215684
15c9d3090
hex8982b34

144190260 has 192 divisors, whose sum is σ = 482630400. Its totient is φ = 35610624.

The previous prime is 144190253. The next prime is 144190271. The reversal of 144190260 is 62091441.

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

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1037271 + ... + 1037409.

It is an arithmetic number, because the mean of its divisors is an integer number (2513700).

Almost surely, 2144190260 is an apocalyptic number.

144190260 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 144190260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241315200).

144190260 is an abundant number, since it is smaller than the sum of its proper divisors (338440140).

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

144190260 is a wasteful number, since it uses less digits than its factorization.

144190260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 144190260 is about 12007.9248831761. The cubic root of 144190260 is about 524.3790208868.

The spelling of 144190260 in words is "one hundred forty-four million, one hundred ninety thousand, two hundred sixty".