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148000770 = 2345892053
BaseRepresentation
bin10001101001001…
…01000000000010
3101022111012220000
420310211000002
5300342011040
622404100430
73444662061
oct1064450002
9338435800
10148000770
11765a7195
1241694716
132487bc28
14159281d8
15ced7130
hex8d25002

148000770 has 80 divisors (see below), whose sum is σ = 402625080. Its totient is φ = 39004416.

The previous prime is 148000739. The next prime is 148000771. The reversal of 148000770 is 77000841.

It can be written as a sum of positive squares in 4 ways, for example, as 97831881 + 50168889 = 9891^2 + 7083^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (148000771) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 71064 + ... + 73116.

Almost surely, 2148000770 is an apocalyptic number.

148000770 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 148000770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201312540).

148000770 is an abundant number, since it is smaller than the sum of its proper divisors (254624310).

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

148000770 is a wasteful number, since it uses less digits than its factorization.

148000770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2161 (or 2152 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 27.

The square root of 148000770 is about 12165.5567073603. The cubic root of 148000770 is about 528.9581646036.

The spelling of 148000770 in words is "one hundred forty-eight million, seven hundred seventy", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 89 90 135 162 178 267 270 405 445 534 801 810 890 1335 1602 2053 2403 2670 4005 4106 4806 6159 7209 8010 10265 12015 12318 14418 18477 20530 24030 30795 36045 36954 55431 61590 72090 92385 110862 166293 182717 184770 277155 332586 365434 548151 554310 831465 913585 1096302 1644453 1662930 1827170 2740755 3288906 4933359 5481510 8222265 9866718 14800077 16444530 24666795 29600154 49333590 74000385 148000770