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144900 = 223252723
BaseRepresentation
bin100011011000000100
321100202200
4203120010
514114100
63034500
71142310
oct433004
9240680
10144900
1199958
126ba30
1350c52
143ab40
152ce00
hex23604

144900 has 108 divisors (see below), whose sum is σ = 541632. Its totient is φ = 31680.

The previous prime is 144899. The next prime is 144917. The reversal of 144900 is 9441.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6289 + ... + 6311.

2144900 is an apocalyptic number.

144900 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 144900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270816).

144900 is an abundant number, since it is smaller than the sum of its proper divisors (396732).

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

144900 is a wasteful number, since it uses less digits than its factorization.

144900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 144900 is about 380.6573262135. The cubic root of 144900 is about 52.5237987340.

It can be divided in two parts, 144 and 900, that multiplied together give a square (129600 = 3602).

The spelling of 144900 in words is "one hundred forty-four thousand, nine hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 23 25 28 30 35 36 42 45 46 50 60 63 69 70 75 84 90 92 100 105 115 126 138 140 150 161 175 180 207 210 225 230 252 276 300 315 322 345 350 414 420 450 460 483 525 575 630 644 690 700 805 828 900 966 1035 1050 1150 1260 1380 1449 1575 1610 1725 1932 2070 2100 2300 2415 2898 3150 3220 3450 4025 4140 4830 5175 5796 6300 6900 7245 8050 9660 10350 12075 14490 16100 20700 24150 28980 36225 48300 72450 144900