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148041300 = 2235211113397
BaseRepresentation
bin10001101001011…
…10111001010100
3101022120021111010
420310232321110
5300344310200
622405012220
73445221201
oct1064567124
9338507433
10148041300
1176624690
12416b4070
1324894504
1415938ca8
15cee4150
hex8d2ee54

148041300 has 144 divisors (see below), whose sum is σ = 472594752. Its totient is φ = 35481600.

The previous prime is 148041281. The next prime is 148041301. The reversal of 148041300 is 3140841.

148041300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148041301) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 372702 + ... + 373098.

It is an arithmetic number, because the mean of its divisors is an integer number (3281908).

Almost surely, 2148041300 is an apocalyptic number.

148041300 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 148041300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236297376).

148041300 is an abundant number, since it is smaller than the sum of its proper divisors (324553452).

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

148041300 is a wasteful number, since it uses less digits than its factorization.

148041300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 148041300 is about 12167.2223617389. Note that the first 3 decimals coincide. The cubic root of 148041300 is about 529.0064452482.

The spelling of 148041300 in words is "one hundred forty-eight million, forty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 113 132 150 165 220 226 275 300 330 339 397 452 550 565 660 678 794 825 1100 1130 1191 1243 1356 1588 1650 1695 1985 2260 2382 2486 2825 3300 3390 3729 3970 4367 4764 4972 5650 5955 6215 6780 7458 7940 8475 8734 9925 11300 11910 12430 13101 14916 16950 17468 18645 19850 21835 23820 24860 26202 29775 31075 33900 37290 39700 43670 44861 52404 59550 62150 65505 74580 87340 89722 93225 109175 119100 124300 131010 134583 179444 186450 218350 224305 262020 269166 327525 372900 436700 448610 493471 538332 655050 672915 897220 986942 1121525 1310100 1345830 1480413 1973884 2243050 2467355 2691660 2960826 3364575 4486100 4934710 5921652 6729150 7402065 9869420 12336775 13458300 14804130 24673550 29608260 37010325 49347100 74020650 148041300