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148820320 = 2551127687
BaseRepresentation
bin10001101111011…
…01000101100000
3101101000212002201
420313231011200
5301044222240
622433422544
73454644325
oct1067550540
9341025081
10148820320
1177006a00
1241a0aa54
1324aa7c7c
1415a9cb4c
15d0e9d9a
hex8ded160

148820320 has 72 divisors (see below), whose sum is σ = 386506512. Its totient is φ = 54109440.

The previous prime is 148820317. The next prime is 148820341. The reversal of 148820320 is 23028841.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 15517 + ... + 23203.

It is an arithmetic number, because the mean of its divisors is an integer number (5368146).

Almost surely, 2148820320 is an apocalyptic number.

148820320 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 148820320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193253256).

148820320 is an abundant number, since it is smaller than the sum of its proper divisors (237686192).

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

148820320 is a wasteful number, since it uses less digits than its factorization.

148820320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7724 (or 7705 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 148820320 is about 12199.1934159599. The cubic root of 148820320 is about 529.9327314649.

The spelling of 148820320 in words is "one hundred forty-eight million, eight hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 121 160 176 220 242 352 440 484 605 880 968 1210 1760 1936 2420 3872 4840 7687 9680 15374 19360 30748 38435 61496 76870 84557 122992 153740 169114 245984 307480 338228 422785 614960 676456 845570 930127 1229920 1352912 1691140 1860254 2705824 3382280 3720508 4650635 6764560 7441016 9301270 13529120 14882032 18602540 29764064 37205080 74410160 148820320