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144067700 = 22527277743
BaseRepresentation
bin10001001011001…
…00110001110100
3101001002101201202
420211210301310
5243340131300
622143512032
73366361310
oct1045446164
9331071652
10144067700
1174360217
12402b8618
1323b0297a
14151c2b40
15c9abad5
hex8964c74

144067700 has 72 divisors (see below), whose sum is σ = 359060352. Its totient is φ = 49150080.

The previous prime is 144067691. The next prime is 144067711. The reversal of 144067700 is 7760441.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 193529 + ... + 194271.

Almost surely, 2144067700 is an apocalyptic number.

144067700 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 144067700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179530176).

144067700 is an abundant number, since it is smaller than the sum of its proper divisors (214992652).

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

144067700 is a wasteful number, since it uses less digits than its factorization.

144067700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1041 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 29.

The square root of 144067700 is about 12002.8205018654. The cubic root of 144067700 is about 524.2304068024.

The spelling of 144067700 in words is "one hundred forty-four million, sixty-seven thousand, seven hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 277 350 554 700 743 1108 1385 1486 1939 2770 2972 3715 3878 5201 5540 6925 7430 7756 9695 10402 13850 14860 18575 19390 20804 26005 27700 37150 38780 48475 52010 74300 96950 104020 130025 193900 205811 260050 411622 520100 823244 1029055 1440677 2058110 2881354 4116220 5145275 5762708 7203385 10290550 14406770 20581100 28813540 36016925 72033850 144067700