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13238500 = 2253112983
BaseRepresentation
bin110010100000…
…000011100100
3220220120210211
4302200003210
511342113000
61151425204
7220345132
oct62400344
926816724
1013238500
117522310
124525204
132986942
141a88752
1512677ba
hexca00e4

13238500 has 96 divisors (see below), whose sum is σ = 33022080. Its totient is φ = 4592000.

The previous prime is 13238473. The next prime is 13238503. The reversal of 13238500 is 583231.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13238503) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 159459 + ... + 159541.

It is an arithmetic number, because the mean of its divisors is an integer number (343980).

Almost surely, 213238500 is an apocalyptic number.

13238500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13238500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16511040).

13238500 is an abundant number, since it is smaller than the sum of its proper divisors (19783580).

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

13238500 is a wasteful number, since it uses less digits than its factorization.

13238500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 13238500 is about 3638.4749552525. The cubic root of 13238500 is about 236.5626954092.

The spelling of 13238500 in words is "thirteen million, two hundred thirty-eight thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 25 29 44 50 55 58 83 100 110 116 125 145 166 220 250 275 290 319 332 415 500 550 580 638 725 830 913 1100 1276 1375 1450 1595 1660 1826 2075 2407 2750 2900 3190 3625 3652 4150 4565 4814 5500 6380 7250 7975 8300 9130 9628 10375 12035 14500 15950 18260 20750 22825 24070 26477 31900 39875 41500 45650 48140 52954 60175 79750 91300 105908 114125 120350 132385 159500 228250 240700 264770 300875 456500 529540 601750 661925 1203500 1323850 2647700 3309625 6619250 13238500