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144032060 = 225101113631
BaseRepresentation
bin10001001010111…
…00000100111100
3101001000120211202
420211130010330
5243333011220
622143035032
73366152354
oct1045340474
9331016752
10144032060
1174336467
124029ba78
1323abc693
14151b3b64
15c9a1275
hex895c13c

144032060 has 48 divisors (see below), whose sum is σ = 308653632. Its totient is φ = 56448000.

The previous prime is 144032051. The next prime is 144032081. The reversal of 144032060 is 60230441.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 227945 + ... + 228575.

It is an arithmetic number, because the mean of its divisors is an integer number (6430284).

Almost surely, 2144032060 is an apocalyptic number.

144032060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144032060 is an abundant number, since it is smaller than the sum of its proper divisors (164621572).

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

144032060 is a wasteful number, since it uses less digits than its factorization.

144032060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854 (or 852 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 144032060 is about 12001.3357589895. The cubic root of 144032060 is about 524.1871745522.

The spelling of 144032060 in words is "one hundred forty-four million, thirty-two thousand, sixty".

Divisors: 1 2 4 5 10 20 101 113 202 226 404 452 505 565 631 1010 1130 1262 2020 2260 2524 3155 6310 11413 12620 22826 45652 57065 63731 71303 114130 127462 142606 228260 254924 285212 318655 356515 637310 713030 1274620 1426060 7201603 14403206 28806412 36008015 72016030 144032060