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13953030 = 23571319269
BaseRepresentation
bin110101001110…
…100000000110
3222020212221220
4311032200012
512032444110
61215021210
7226412250
oct65164006
928225856
1013953030
117970133
12480a806
132b76c40
141bd2cd0
151359370
hexd4e806

13953030 has 128 divisors (see below), whose sum is σ = 43545600. Its totient is φ = 2778624.

The previous prime is 13953029. The next prime is 13953053. The reversal of 13953030 is 3035931.

13953030 = 10302 + 10312 + ... + 10422.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 51736 + ... + 52004.

It is an arithmetic number, because the mean of its divisors is an integer number (340200).

Almost surely, 213953030 is an apocalyptic number.

13953030 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 13953030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21772800).

13953030 is an abundant number, since it is smaller than the sum of its proper divisors (29592570).

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

13953030 is a wasteful number, since it uses less digits than its factorization.

13953030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318.

The product of its (nonzero) digits is 1215, while the sum is 24.

The square root of 13953030 is about 3735.3754831342. The cubic root of 13953030 is about 240.7443901821.

Adding to 13953030 its reverse (3035931), we get a palindrome (16988961).

The spelling of 13953030 in words is "thirteen million, nine hundred fifty-three thousand, thirty".

Divisors: 1 2 3 5 6 7 10 13 14 15 19 21 26 30 35 38 39 42 57 65 70 78 91 95 105 114 130 133 182 190 195 210 247 266 269 273 285 390 399 455 494 538 546 570 665 741 798 807 910 1235 1330 1345 1365 1482 1614 1729 1883 1995 2470 2690 2730 3458 3497 3705 3766 3990 4035 5111 5187 5649 6994 7410 8070 8645 9415 10222 10374 10491 11298 15333 17290 17485 18830 20982 24479 25555 25935 28245 30666 34970 35777 48958 51110 51870 52455 56490 66443 71554 73437 76665 104910 107331 122395 132886 146874 153330 178885 199329 214662 244790 332215 357770 367185 398658 465101 536655 664430 734370 930202 996645 1073310 1395303 1993290 2325505 2790606 4651010 6976515 13953030