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13023150 = 2352779157
BaseRepresentation
bin110001101011…
…011110101110
3220111122101220
4301223132232
511313220100
61143044210
7215460240
oct61533656
926448356
1013023150
117395538
124440666
13290c90a
141a30090
151223aa0
hexc6b7ae

13023150 has 96 divisors (see below), whose sum is σ = 37616640. Its totient is φ = 2920320.

The previous prime is 13023133. The next prime is 13023167. The reversal of 13023150 is 5132031.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13023133) and next prime (13023167).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82872 + ... + 83028.

It is an arithmetic number, because the mean of its divisors is an integer number (391840).

Almost surely, 213023150 is an apocalyptic number.

13023150 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 13023150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18808320).

13023150 is an abundant number, since it is smaller than the sum of its proper divisors (24593490).

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

13023150 is a wasteful number, since it uses less digits than its factorization.

13023150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 13023150 is about 3608.7601749077. The cubic root of 13023150 is about 235.2729588204.

Adding to 13023150 its reverse (5132031), we get a palindrome (18155181).

The spelling of 13023150 in words is "thirteen million, twenty-three thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 79 105 150 157 158 175 210 237 314 350 395 471 474 525 553 785 790 942 1050 1099 1106 1185 1570 1659 1975 2198 2355 2370 2765 3297 3318 3925 3950 4710 5495 5530 5925 6594 7850 8295 10990 11775 11850 12403 13825 16485 16590 23550 24806 27475 27650 32970 37209 41475 54950 62015 74418 82425 82950 86821 124030 164850 173642 186045 260463 310075 372090 434105 520926 620150 868210 930225 1302315 1860450 2170525 2604630 4341050 6511575 13023150