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398106150 = 2352131091873
BaseRepresentation
bin10111101110101…
…001111000100110
31000202002212222020
4113232221320212
51303403344100
6103300444010
712602563221
oct2756517046
91022085866
10398106150
111947a2052
12b13a9606
136462a590
143ac305b8
1524e3c5a0
hex17ba9e26

398106150 has 96 divisors (see below), whose sum is σ = 1073577120. Its totient is φ = 97044480.

The previous prime is 398106133. The next prime is 398106151. The reversal of 398106150 is 51601893.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398106151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 211614 + ... + 213486.

It is an arithmetic number, because the mean of its divisors is an integer number (11183095).

Almost surely, 2398106150 is an apocalyptic number.

398106150 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 398106150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536788560).

398106150 is an abundant number, since it is smaller than the sum of its proper divisors (675470970).

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

398106150 is a wasteful number, since it uses less digits than its factorization.

398106150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2010 (or 2005 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 398106150 is about 19952.5975752532. The cubic root of 398106150 is about 735.6416258492.

The spelling of 398106150 in words is "three hundred ninety-eight million, one hundred six thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 39 50 65 75 78 109 130 150 195 218 325 327 390 545 650 654 975 1090 1417 1635 1873 1950 2725 2834 3270 3746 4251 5450 5619 7085 8175 8502 9365 11238 14170 16350 18730 21255 24349 28095 35425 42510 46825 48698 56190 70850 73047 93650 106275 121745 140475 146094 204157 212550 243490 280950 365235 408314 608725 612471 730470 1020785 1217450 1224942 1826175 2041570 2654041 3062355 3652350 5103925 5308082 6124710 7962123 10207850 13270205 15311775 15924246 26540410 30623550 39810615 66351025 79621230 132702050 199053075 398106150