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148231320 = 233523431249
BaseRepresentation
bin10001101010111…
…01010010011000
3101022220221010220
420311131102120
5300421400240
622413040040
73446642166
oct1065352230
9338827126
10148231320
1176744426
1241786020
132492cb53
1415988236
15d0305d0
hex8d5d498

148231320 has 128 divisors (see below), whose sum is σ = 475200000. Its totient is φ = 36900864.

The previous prime is 148231289. The next prime is 148231327. The reversal of 148231320 is 23132841.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148231327) 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 31 ways as a sum of consecutive naturals, for example, 118056 + ... + 119304.

It is an arithmetic number, because the mean of its divisors is an integer number (3712500).

Almost surely, 2148231320 is an apocalyptic number.

148231320 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 148231320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237600000).

148231320 is an abundant number, since it is smaller than the sum of its proper divisors (326968680).

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

148231320 is a wasteful number, since it uses less digits than its factorization.

148231320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1329 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 148231320 is about 12175.0285420610. The cubic root of 148231320 is about 529.2326857787.

The spelling of 148231320 in words is "one hundred forty-eight million, two hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 43 46 60 69 86 92 115 120 129 138 172 184 215 230 258 276 344 345 430 460 516 552 645 690 860 920 989 1032 1249 1290 1380 1720 1978 2498 2580 2760 2967 3747 3956 4945 4996 5160 5934 6245 7494 7912 9890 9992 11868 12490 14835 14988 18735 19780 23736 24980 28727 29670 29976 37470 39560 49960 53707 57454 59340 74940 86181 107414 114908 118680 143635 149880 161121 172362 214828 229816 268535 287270 322242 344724 429656 430905 537070 574540 644484 689448 805605 861810 1074140 1149080 1235261 1288968 1611210 1723620 2148280 2470522 3222420 3447240 3705783 4941044 6176305 6444840 7411566 9882088 12352610 14823132 18528915 24705220 29646264 37057830 49410440 74115660 148231320