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144466920 = 233251330869
BaseRepresentation
bin10001001110001…
…10001111101000
3101001211200100200
420213012033220
5243440420140
622200232200
73402643233
oct1047061750
9331750320
10144466920
1174603154
124046b660
1323c125b0
141528841a
15ca3a030
hex89c63e8

144466920 has 96 divisors (see below), whose sum is σ = 505650600. Its totient is φ = 35559936.

The previous prime is 144466909. The next prime is 144466921. The reversal of 144466920 is 29664441.

It can be written as a sum of positive squares in 4 ways, for example, as 49871844 + 94595076 = 7062^2 + 9726^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144466921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10755 + ... + 20114.

Almost surely, 2144466920 is an apocalyptic number.

144466920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144466920 is an abundant number, since it is smaller than the sum of its proper divisors (361183680).

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

144466920 is a wasteful number, since it uses less digits than its factorization.

144466920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30899 (or 30892 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 144466920 is about 12019.4392548072. The cubic root of 144466920 is about 524.7141845634.

The spelling of 144466920 in words is "one hundred forty-four million, four hundred sixty-six thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 30869 61738 92607 123476 154345 185214 246952 277821 308690 370428 401297 463035 555642 617380 740856 802594 926070 1111284 1203891 1234760 1389105 1605188 1852140 2006485 2222568 2407782 2778210 3210376 3611673 3704280 4012970 4815564 5556420 6019455 7223346 8025940 9631128 11112840 12038910 14446692 16051880 18058365 24077820 28893384 36116730 48155640 72233460 144466920