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148742820 = 22325826349
BaseRepresentation
bin10001101110110…
…10001010100100
3101100212220210100
420313122022210
5301034232240
622432024100
73454202352
oct1067321244
9340786710
10148742820
1176a63756
1241992030
1324a7b905
1415a7c7d2
15d0d1e30
hex8dda2a4

148742820 has 36 divisors (see below), whose sum is σ = 451187100. Its totient is φ = 39664704.

The previous prime is 148742813. The next prime is 148742821. The reversal of 148742820 is 28247841.

It can be written as a sum of positive squares in 2 ways, for example, as 94012416 + 54730404 = 9696^2 + 7398^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (148742821) 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 11 ways as a sum of consecutive naturals, for example, 412995 + ... + 413354.

It is an arithmetic number, because the mean of its divisors is an integer number (12532975).

Almost surely, 2148742820 is an apocalyptic number.

148742820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

148742820 is an abundant number, since it is smaller than the sum of its proper divisors (302444280).

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

148742820 is a wasteful number, since it uses less digits than its factorization.

148742820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826364 (or 826359 counting only the distinct ones).

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

The square root of 148742820 is about 12196.0165627962. The cubic root of 148742820 is about 529.8407258437.

The spelling of 148742820 in words is "one hundred forty-eight million, seven hundred forty-two thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 826349 1652698 2479047 3305396 4131745 4958094 7437141 8263490 9916188 12395235 14874282 16526980 24790470 29748564 37185705 49580940 74371410 148742820