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148738200 = 233521319069
BaseRepresentation
bin10001101110110…
…01000010011000
3101100212200110020
420313121002120
5301034110300
622431550440
73454153032
oct1067310230
9340780406
10148738200
1176a60236
124198b420
1324a79790
1415a7ac52
15d0d08a0
hex8dd9098

148738200 has 96 divisors (see below), whose sum is σ = 496582800. Its totient is φ = 36610560.

The previous prime is 148738147. The next prime is 148738223. The reversal of 148738200 is 2837841.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1735 + ... + 17334.

Almost surely, 2148738200 is an apocalyptic number.

148738200 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 148738200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248291400).

148738200 is an abundant number, since it is smaller than the sum of its proper divisors (347844600).

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

148738200 is a wasteful number, since it uses less digits than its factorization.

148738200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19101 (or 19092 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 148738200 is about 12195.8271552199. The cubic root of 148738200 is about 529.8352401123.

The spelling of 148738200 in words is "one hundred forty-eight million, seven hundred thirty-eight thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 25 26 30 39 40 50 52 60 65 75 78 100 104 120 130 150 156 195 200 260 300 312 325 390 520 600 650 780 975 1300 1560 1950 2600 3900 7800 19069 38138 57207 76276 95345 114414 152552 190690 228828 247897 286035 381380 457656 476725 495794 572070 743691 762760 953450 991588 1144140 1239485 1430175 1487382 1906900 1983176 2288280 2478970 2860350 2974764 3718455 3813800 4957940 5720700 5949528 6197425 7436910 9915880 11441400 12394850 14873820 18592275 24789700 29747640 37184550 49579400 74369100 148738200