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64200150 = 23252789229
BaseRepresentation
bin1111010011100…
…1110111010110
311110210201001100
43310321313112
5112413401100
610212010530
71406456310
oct364716726
9143721040
1064200150
113326a583
1219600a46
13103ba971
1487527b0
155982400
hex3d39dd6

64200150 has 144 divisors (see below), whose sum is σ = 200210400. Its totient is φ = 14446080.

The previous prime is 64200131. The next prime is 64200179. The reversal of 64200150 is 5100246.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 280236 + ... + 280464.

It is an arithmetic number, because the mean of its divisors is an integer number (1390350).

Almost surely, 264200150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64200150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100105200).

64200150 is an abundant number, since it is smaller than the sum of its proper divisors (136010250).

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

64200150 is a wasteful number, since it uses less digits than its factorization.

64200150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 64200150 is about 8012.4996099844. The cubic root of 64200150 is about 400.4165452412.

Adding to 64200150 its reverse (5100246), we get a palindrome (69300396).

The spelling of 64200150 in words is "sixty-four million, two hundred thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 45 50 63 70 75 89 90 105 126 150 175 178 210 225 229 267 315 350 445 450 458 525 534 623 630 687 801 890 1050 1145 1246 1335 1374 1575 1602 1603 1869 2061 2225 2290 2670 3115 3150 3206 3435 3738 4005 4122 4450 4809 5607 5725 6230 6675 6870 8010 8015 9345 9618 10305 11214 11450 13350 14427 15575 16030 17175 18690 20025 20381 20610 24045 28035 28854 31150 34350 40050 40075 40762 46725 48090 51525 56070 61143 72135 80150 93450 101905 103050 120225 122286 140175 142667 144270 183429 203810 240450 280350 285334 305715 360675 366858 428001 509525 611430 713335 721350 856002 917145 1019050 1284003 1426670 1528575 1834290 2140005 2568006 3057150 3566675 4280010 4585725 6420015 7133350 9171450 10700025 12840030 21400050 32100075 64200150