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148256320 = 2651727253
BaseRepresentation
bin10001101011000…
…11011001000000
3101022222012102211
420311203121000
5300423200240
622413351504
73450105112
oct1065433100
9338865384
10148256320
1176761193
1241798594
132493b344
14159933b2
15d037bea
hex8d63640

148256320 has 56 divisors (see below), whose sum is σ = 373815864. Its totient is φ = 55812096.

The previous prime is 148256309. The next prime is 148256359. The reversal of 148256320 is 23652841.

It can be written as a sum of positive squares in 4 ways, for example, as 31270464 + 116985856 = 5592^2 + 10816^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 8187 + ... + 19066.

Almost surely, 2148256320 is an apocalyptic number.

148256320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

148256320 is an abundant number, since it is smaller than the sum of its proper divisors (225559544).

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

148256320 is a wasteful number, since it uses less digits than its factorization.

148256320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27287 (or 27277 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 148256320 is about 12176.0551904137. The cubic root of 148256320 is about 529.2624367413.

The spelling of 148256320 in words is "one hundred forty-eight million, two hundred fifty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 136 160 170 272 320 340 544 680 1088 1360 2720 5440 27253 54506 109012 136265 218024 272530 436048 463301 545060 872096 926602 1090120 1744192 1853204 2180240 2316505 3706408 4360480 4633010 7412816 8720960 9266020 14825632 18532040 29651264 37064080 74128160 148256320