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148742740 = 22529317809
BaseRepresentation
bin10001101110110…
…10001001010100
3101100212220200101
420313122021110
5301034231430
622432023444
73454202206
oct1067321124
9340786611
10148742740
1176a63693
1241991b84
1324a7b873
1415a7c776
15d0d1dca
hex8dda254

148742740 has 48 divisors (see below), whose sum is σ = 324550800. Its totient is φ = 57193472.

The previous prime is 148742729. The next prime is 148742761. The reversal of 148742740 is 47247841.

It can be written as a sum of positive squares in 8 ways, for example, as 1993744 + 146748996 = 1412^2 + 12114^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 148742740.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183456 + ... + 184264.

It is an arithmetic number, because the mean of its divisors is an integer number (6761475).

Almost surely, 2148742740 is an apocalyptic number.

148742740 is a gapful number since it is divisible by the number (10) 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 148742740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162275400).

148742740 is an abundant number, since it is smaller than the sum of its proper divisors (175808060).

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

148742740 is a wasteful number, since it uses less digits than its factorization.

148742740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1164 (or 1162 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 37.

The square root of 148742740 is about 12196.0132830364. The cubic root of 148742740 is about 529.8406308537.

The spelling of 148742740 in words is "one hundred forty-eight million, seven hundred forty-two thousand, seven hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 317 580 634 809 1268 1585 1618 3170 3236 4045 6340 8090 9193 16180 18386 23461 36772 45965 46922 91930 93844 117305 183860 234610 256453 469220 512906 1025812 1282265 2564530 5129060 7437137 14874274 29748548 37185685 74371370 148742740