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148000032 = 25322322343
BaseRepresentation
bin10001101001001…
…00110100100000
3101022111011212200
420310210310200
5300342000112
622404053200
73444656655
oct1064446440
9338434780
10148000032
11765a6684
1241694200
132487b7ab
1415927c2c
15ced6cdc
hex8d24d20

148000032 has 72 divisors (see below), whose sum is σ = 439193664. Its totient is φ = 47186304.

The previous prime is 148000031. The next prime is 148000043. The reversal of 148000032 is 230000841.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 147999969 and 148000014.

It is not an unprimeable number, because it can be changed into a prime (148000031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4548 + ... + 17795.

It is an arithmetic number, because the mean of its divisors is an integer number (6099912).

Almost surely, 2148000032 is an apocalyptic number.

148000032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

148000032 is an abundant number, since it is smaller than the sum of its proper divisors (291193632).

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

148000032 is a wasteful number, since it uses less digits than its factorization.

148000032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22382 (or 22371 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 148000032 is about 12165.5263757883. The cubic root of 148000032 is about 528.9572853925.

Adding to 148000032 its reverse (230000841), we get a palindrome (378000873).

The spelling of 148000032 in words is "one hundred forty-eight million, thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 184 207 276 288 368 414 552 736 828 1104 1656 2208 3312 6624 22343 44686 67029 89372 134058 178744 201087 268116 357488 402174 513889 536232 714976 804348 1027778 1072464 1541667 1608696 2055556 2144928 3083334 3217392 4111112 4625001 6166668 6434784 8222224 9250002 12333336 16444448 18500004 24666672 37000008 49333344 74000016 148000032