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133451850 = 23527149853
BaseRepresentation
bin1111111010001…
…01000001001010
3100022010001112010
413331011001022
5233130424400
621124200350
73210215310
oct775050112
9308101463
10133451850
116936a394
12388390b6
13218569bc
1413a1c0b0
15bab1450
hex7f4504a

133451850 has 96 divisors (see below), whose sum is σ = 381225600. Its totient is φ = 30263040.

The previous prime is 133451821. The next prime is 133451867. The reversal of 133451850 is 58154331.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon 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 47 ways as a sum of consecutive naturals, for example, 156024 + ... + 156876.

It is an arithmetic number, because the mean of its divisors is an integer number (3971100).

Almost surely, 2133451850 is an apocalyptic number.

133451850 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133451850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190612800).

133451850 is an abundant number, since it is smaller than the sum of its proper divisors (247773750).

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

133451850 is a wasteful number, since it uses less digits than its factorization.

133451850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1024 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 133451850 is about 11552.1361660950. The cubic root of 133451850 is about 511.0242775015.

The spelling of 133451850 in words is "one hundred thirty-three million, four hundred fifty-one thousand, eight hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 149 150 175 210 298 350 447 525 745 853 894 1043 1050 1490 1706 2086 2235 2559 3129 3725 4265 4470 5118 5215 5971 6258 7450 8530 10430 11175 11942 12795 15645 17913 21325 22350 25590 26075 29855 31290 35826 42650 52150 59710 63975 78225 89565 127097 127950 149275 156450 179130 254194 298550 381291 447825 635485 762582 889679 895650 1270970 1779358 1906455 2669037 3177425 3812910 4448395 5338074 6354850 8896790 9532275 13345185 19064550 22241975 26690370 44483950 66725925 133451850