Search a number
-
+
144005620 = 22511654571
BaseRepresentation
bin10001001010101…
…01100111110100
3101000222020120111
420211111213310
5243331134440
622142312404
73366012313
oct1045254764
9330866514
10144005620
1174318610
1240288704
1323ab0635
14151a827a
15c9984ea
hex89559f4

144005620 has 24 divisors (see below), whose sum is σ = 329904288. Its totient is φ = 52365600.

The previous prime is 144005593. The next prime is 144005627. The reversal of 144005620 is 26500441.

144005620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 144005591 and 144005600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144005627) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 327066 + ... + 327505.

It is an arithmetic number, because the mean of its divisors is an integer number (13746012).

Almost surely, 2144005620 is an apocalyptic number.

144005620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144005620 is an abundant number, since it is smaller than the sum of its proper divisors (185898668).

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

144005620 is a wasteful number, since it uses less digits than its factorization.

144005620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654591 (or 654589 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 144005620 is about 12000.2341643820. The cubic root of 144005620 is about 524.1550975339.

The spelling of 144005620 in words is "one hundred forty-four million, five thousand, six hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 654571 1309142 2618284 3272855 6545710 7200281 13091420 14400562 28801124 36001405 72002810 144005620