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13021140 = 223511109181
BaseRepresentation
bin110001101010…
…111111010100
3220111112122110
4301222333110
511313134030
61143031020
7215451336
oct61527724
926445573
1013021140
117393a80
12443b470
13290ba22
141a2d456
1512231b0
hexc6afd4

13021140 has 96 divisors (see below), whose sum is σ = 40360320. Its totient is φ = 3110400.

The previous prime is 13021139. The next prime is 13021163. The reversal of 13021140 is 4112031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71850 + ... + 72030.

It is an arithmetic number, because the mean of its divisors is an integer number (420420).

Almost surely, 213021140 is an apocalyptic number.

13021140 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 13021140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20180160).

13021140 is an abundant number, since it is smaller than the sum of its proper divisors (27339180).

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

13021140 is a wasteful number, since it uses less digits than its factorization.

13021140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 13021140 is about 3608.4816751648. The cubic root of 13021140 is about 235.2608541458.

Adding to 13021140 its reverse (4112031), we get a palindrome (17133171).

It can be divided in two parts, 1302 and 1140, that added together give a palindrome (2442).

The spelling of 13021140 in words is "thirteen million, twenty-one thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 109 110 132 165 181 218 220 327 330 362 436 543 545 654 660 724 905 1086 1090 1199 1308 1635 1810 1991 2172 2180 2398 2715 3270 3597 3620 3982 4796 5430 5973 5995 6540 7194 7964 9955 10860 11946 11990 14388 17985 19729 19910 23892 23980 29865 35970 39458 39820 59187 59730 71940 78916 98645 118374 119460 197290 217019 236748 295935 394580 434038 591870 651057 868076 1085095 1183740 1302114 2170190 2604228 3255285 4340380 6510570 13021140