Search a number
-
+
144067000 = 23537111871
BaseRepresentation
bin10001001011001…
…00100110111000
3101001002100202211
420211210212320
5243340121000
622143504504
73366356260
oct1045444670
9331070684
10144067000
117435a740
12402b8134
1323b0255c
14151c27a0
15c9ab7ba
hex89649b8

144067000 has 128 divisors (see below), whose sum is σ = 420526080. Its totient is φ = 44880000.

The previous prime is 144066997. The next prime is 144067003. The reversal of 144067000 is 760441.

It is an interprime number because it is at equal distance from previous prime (144066997) and next prime (144067003).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144067003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76065 + ... + 77935.

It is an arithmetic number, because the mean of its divisors is an integer number (3285360).

Almost surely, 2144067000 is an apocalyptic number.

144067000 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 144067000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210263040).

144067000 is an abundant number, since it is smaller than the sum of its proper divisors (276459080).

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

144067000 is a wasteful number, since it uses less digits than its factorization.

144067000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1910 (or 1896 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 144067000 is about 12002.7913420171. The cubic root of 144067000 is about 524.2295577528.

The spelling of 144067000 in words is "one hundred forty-four million, sixty-seven thousand".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 50 55 56 70 77 88 100 110 125 140 154 175 200 220 250 275 280 308 350 385 440 500 550 616 700 770 875 1000 1100 1375 1400 1540 1750 1871 1925 2200 2750 3080 3500 3742 3850 5500 7000 7484 7700 9355 9625 11000 13097 14968 15400 18710 19250 20581 26194 37420 38500 41162 46775 52388 65485 74840 77000 82324 93550 102905 104776 130970 144067 164648 187100 205810 233875 261940 288134 327425 374200 411620 467750 514525 523880 576268 654850 720335 823240 935500 1029050 1152536 1309700 1440670 1637125 1871000 2058100 2572625 2619400 2881340 3274250 3601675 4116200 5145250 5762680 6548500 7203350 10290500 13097000 14406700 18008375 20581000 28813400 36016750 72033500 144067000