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148105890 = 232513911839
BaseRepresentation
bin10001101001111…
…10101010100010
3101022200120002100
420310332222202
5300403342030
622410231230
73445610412
oct1064765242
9338616070
10148105890
1176669169
1241725516
13248b7a2a
1415954642
15d008360
hex8d3eaa2

148105890 has 48 divisors (see below), whose sum is σ = 387878400. Its totient is φ = 39207456.

The previous prime is 148105877. The next prime is 148105891. The reversal of 148105890 is 98501841.

148105890 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (148105891) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6591 + ... + 18429.

It is an arithmetic number, because the mean of its divisors is an integer number (8080800).

Almost surely, 2148105890 is an apocalyptic number.

148105890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 148105890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193939200).

148105890 is an abundant number, since it is smaller than the sum of its proper divisors (239772510).

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

148105890 is a wasteful number, since it uses less digits than its factorization.

148105890 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11991 (or 11988 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 148105890 is about 12169.8763346223. The cubic root of 148105890 is about 529.0833687335.

The spelling of 148105890 in words is "one hundred forty-eight million, one hundred five thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 139 278 417 695 834 1251 1390 2085 2502 4170 6255 11839 12510 23678 35517 59195 71034 106551 118390 177585 213102 355170 532755 1065510 1645621 3291242 4936863 8228105 9873726 14810589 16456210 24684315 29621178 49368630 74052945 148105890