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13913130 = 23571119317
BaseRepresentation
bin110101000100…
…110000101010
3222011212020010
4311010300222
512030210010
61214112350
7226155030
oct65046052
928155203
1013913130
117943160
1247ab6b6
132b61a2a
141bc2550
15134c620
hexd44c2a

13913130 has 128 divisors (see below), whose sum is σ = 43960320. Its totient is φ = 2730240.

The previous prime is 13913113. The next prime is 13913161. The reversal of 13913130 is 3131931.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 13913097 and 13913106.

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, 43732 + ... + 44048.

It is an arithmetic number, because the mean of its divisors is an integer number (343440).

Almost surely, 213913130 is an apocalyptic number.

13913130 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 13913130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21980160).

13913130 is an abundant number, since it is smaller than the sum of its proper divisors (30047190).

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

13913130 is a wasteful number, since it uses less digits than its factorization.

13913130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364.

The product of its (nonzero) digits is 243, while the sum is 21.

The square root of 13913130 is about 3730.0308309718. The cubic root of 13913130 is about 240.5146940306.

The spelling of 13913130 in words is "thirteen million, nine hundred thirteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 19 21 22 30 33 35 38 42 55 57 66 70 77 95 105 110 114 133 154 165 190 209 210 231 266 285 317 330 385 399 418 462 570 627 634 665 770 798 951 1045 1155 1254 1330 1463 1585 1902 1995 2090 2219 2310 2926 3135 3170 3487 3990 4389 4438 4755 6023 6270 6657 6974 7315 8778 9510 10461 11095 12046 13314 14630 17435 18069 20922 21945 22190 24409 30115 33285 34870 36138 42161 43890 48818 52305 60230 66253 66570 73227 84322 90345 104610 122045 126483 132506 146454 180690 198759 210805 244090 252966 331265 366135 397518 421610 463771 632415 662530 732270 927542 993795 1264830 1391313 1987590 2318855 2782626 4637710 6956565 13913130