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813150 = 2325213139
BaseRepresentation
bin11000110100001011110
31112022102200
43012201132
5202010100
625232330
76624462
oct3064136
91468380
10813150
11505a28
123326a6
13226170
141724a2
15110e00
hexc685e

813150 has 72 divisors (see below), whose sum is σ = 2369640. Its totient is φ = 198720.

The previous prime is 813133. The next prime is 813157. The reversal of 813150 is 51318.

It is a happy number.

813150 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×8131502 = 1322425845000, which contains 22 as substring.

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 not an unprimeable number, because it can be changed into a prime (813157) by changing a digit.

813150 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5781 + ... + 5919.

2813150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 813150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1184820).

813150 is an abundant number, since it is smaller than the sum of its proper divisors (1556490).

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

813150 is a wasteful number, since it uses less digits than its factorization.

813150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 813150 is about 901.7483019113. The cubic root of 813150 is about 93.3376556955.

Adding to 813150 its reverse (51318), we get a palindrome (864468).

The spelling of 813150 in words is "eight hundred thirteen thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 30 39 45 50 65 75 78 90 117 130 139 150 195 225 234 278 325 390 417 450 585 650 695 834 975 1170 1251 1390 1807 1950 2085 2502 2925 3475 3614 4170 5421 5850 6255 6950 9035 10425 10842 12510 16263 18070 20850 27105 31275 32526 45175 54210 62550 81315 90350 135525 162630 271050 406575 813150