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148130928 = 243211175501
BaseRepresentation
bin10001101010001…
…00110001110000
3101022201211102200
420311010301300
5300410142203
622410543200
73446043411
oct1065046160
9338654380
10148130928
1176685a60
1241737b00
13248c624a
141595d808
15d0109a3
hex8d44c70

148130928 has 120 divisors (see below), whose sum is σ = 478938096. Its totient is φ = 42240000.

The previous prime is 148130861. The next prime is 148130929. The reversal of 148130928 is 829031841.

148130928 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 148130892 and 148130901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148130929) 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 23 ways as a sum of consecutive naturals, for example, 24178 + ... + 29678.

Almost surely, 2148130928 is an apocalyptic number.

148130928 is a gapful number since it is divisible by the number (18) 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 148130928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239469048).

148130928 is an abundant number, since it is smaller than the sum of its proper divisors (330807168).

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

148130928 is a wasteful number, since it uses less digits than its factorization.

148130928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5543 (or 5534 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 148130928 is about 12170.9049786776. The cubic root of 148130928 is about 529.1131817340.

The spelling of 148130928 in words is "one hundred forty-eight million, one hundred thirty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 17 18 22 24 33 34 36 44 48 51 66 68 72 88 99 102 132 136 144 153 176 187 198 204 264 272 306 374 396 408 528 561 612 748 792 816 1122 1224 1496 1584 1683 2244 2448 2992 3366 4488 5501 6732 8976 11002 13464 16503 22004 26928 33006 44008 49509 60511 66012 88016 93517 99018 121022 132024 181533 187034 198036 242044 264048 280551 363066 374068 396072 484088 544599 561102 726132 748136 792144 841653 968176 1028687 1089198 1122204 1452264 1496272 1683306 2057374 2178396 2244408 2904528 3086061 3366612 4114748 4356792 4488816 6172122 6733224 8229496 8713584 9258183 12344244 13466448 16458992 18516366 24688488 37032732 49376976 74065464 148130928