Search a number
-
+
148827690 = 2325111737239
BaseRepresentation
bin10001101111011…
…10111000101010
3101101001020012200
420313232320222
5301044441230
622433521030
73455004654
oct1067567052
9341036180
10148827690
11770114a0
1241a13176
1324aab42b
1415aa16d4
15d0ec160
hex8deee2a

148827690 has 192 divisors, whose sum is σ = 460961280. Its totient is φ = 32901120.

The previous prime is 148827671. The next prime is 148827697. The reversal of 148827690 is 96728841.

It is a super-2 number, since 2×1488276902 = 44299362621472200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (148827697) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 622591 + ... + 622829.

It is an arithmetic number, because the mean of its divisors is an integer number (2400840).

Almost surely, 2148827690 is an apocalyptic number.

148827690 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 148827690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230480640).

148827690 is an abundant number, since it is smaller than the sum of its proper divisors (312133590).

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

148827690 is a wasteful number, since it uses less digits than its factorization.

148827690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 148827690 is about 12199.4954813714. The cubic root of 148827690 is about 529.9414792393.

The spelling of 148827690 in words is "one hundred forty-eight million, eight hundred twenty-seven thousand, six hundred ninety".