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144302620 = 22571193703
BaseRepresentation
bin10001001100111…
…10001000011100
3101001112022222111
420212132020130
5243420140440
622152523404
73401360230
oct1046361034
9331468874
10144302620
1174500770
12403b0564
1323b85887
14152445c0
15ca064ea
hex899e21c

144302620 has 48 divisors (see below), whose sum is σ = 377814528. Its totient is φ = 44976960.

The previous prime is 144302617. The next prime is 144302633. The reversal of 144302620 is 26203441.

It is a happy number.

It is a super-2 number, since 2×1443026202 = 41646492277728800, which contains 22 as substring.

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 = 144302591 and 144302600.

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, 45312 + ... + 48391.

It is an arithmetic number, because the mean of its divisors is an integer number (7871136).

Almost surely, 2144302620 is an apocalyptic number.

144302620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144302620 is an abundant number, since it is smaller than the sum of its proper divisors (233511908).

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

144302620 is a wasteful number, since it uses less digits than its factorization.

144302620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93730 (or 93728 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 144302620 is about 12012.6025489900. The cubic root of 144302620 is about 524.5151926577.

The spelling of 144302620 in words is "one hundred forty-four million, three hundred two thousand, six hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 93703 187406 374812 468515 655921 937030 1030733 1311842 1874060 2061466 2623684 3279605 4122932 5153665 6559210 7215131 10307330 13118420 14430262 20614660 28860524 36075655 72151310 144302620