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13154130 = 23351143103
BaseRepresentation
bin110010001011…
…011101010010
3220202022002000
4302023131102
511331413010
61145534430
7216544143
oct62133522
926668060
1013154130
117474990
1244a4416
132957412
141a65aca
15124c7c0
hexc8b752

13154130 has 128 divisors (see below), whose sum is σ = 39536640. Its totient is φ = 3084480.

The previous prime is 13154117. The next prime is 13154131. The reversal of 13154130 is 3145131.

13154130 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×131541302 = 346062272113800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13154131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 127659 + ... + 127761.

It is an arithmetic number, because the mean of its divisors is an integer number (308880).

Almost surely, 213154130 is an apocalyptic number.

13154130 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 13154130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19768320).

13154130 is an abundant number, since it is smaller than the sum of its proper divisors (26382510).

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

13154130 is a wasteful number, since it uses less digits than its factorization.

13154130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 13154130 is about 3626.8622802638. The cubic root of 13154130 is about 236.0590798177.

Adding to 13154130 its reverse (3145131), we get a palindrome (16299261).

It can be divided in two parts, 1315 and 4130, that added together give a palindrome (5445).

The spelling of 13154130 in words is "thirteen million, one hundred fifty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 43 45 54 55 66 86 90 99 103 110 129 135 165 198 206 215 258 270 297 309 330 387 430 473 495 515 594 618 645 774 927 946 990 1030 1133 1161 1290 1419 1485 1545 1854 1935 2266 2322 2365 2781 2838 2970 3090 3399 3870 4257 4429 4635 4730 5562 5665 5805 6798 7095 8514 8858 9270 10197 11330 11610 12771 13287 13905 14190 16995 20394 21285 22145 25542 26574 27810 30591 33990 39861 42570 44290 48719 50985 61182 63855 66435 79722 97438 101970 119583 127710 132870 146157 152955 199305 239166 243595 292314 305910 398610 438471 487190 597915 730785 876942 1195830 1315413 1461570 2192355 2630826 4384710 6577065 13154130