Search a number
-
+
148227840 = 283354289
BaseRepresentation
bin10001101010111…
…00011100000000
3101022220202101000
420311130130000
5300421242330
622413012000
73446626065
oct1065343400
9338822330
10148227840
1176741852
1241784000
132492b3a7
1415986c6c
15d02e560
hex8d5c700

148227840 has 144 divisors (see below), whose sum is σ = 526125600. Its totient is φ = 39518208.

The previous prime is 148227829. The next prime is 148227841. The reversal of 148227840 is 48722841.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 148227795 and 148227804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148227841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32416 + ... + 36704.

It is an arithmetic number, because the mean of its divisors is an integer number (3653650).

Almost surely, 2148227840 is an apocalyptic number.

148227840 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 148227840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263062800).

148227840 is an abundant number, since it is smaller than the sum of its proper divisors (377897760).

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

148227840 is an equidigital number, since it uses as much as digits as its factorization.

148227840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4319 (or 4299 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 148227840 is about 12174.8856257461. The cubic root of 148227840 is about 529.2285441795.

The spelling of 148227840 in words is "one hundred forty-eight million, two hundred twenty-seven thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 256 270 288 320 360 384 432 480 540 576 640 720 768 864 960 1080 1152 1280 1440 1728 1920 2160 2304 2880 3456 3840 4289 4320 5760 6912 8578 8640 11520 12867 17156 17280 21445 25734 34312 34560 38601 42890 51468 64335 68624 77202 85780 102936 115803 128670 137248 154404 171560 193005 205872 231606 257340 274496 308808 343120 386010 411744 463212 514680 548992 579015 617616 686240 772020 823488 926424 1029360 1097984 1158030 1235232 1372480 1544040 1646976 1852848 2058720 2316060 2470464 2744960 3088080 3293952 3705696 4117440 4632120 4940928 5489920 6176160 7411392 8234880 9264240 9881856 12352320 14822784 16469760 18528480 24704640 29645568 37056960 49409280 74113920 148227840