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13889340 = 2233517289
BaseRepresentation
bin110100111110…
…111100111100
3222010122121000
4310332330330
512023424330
61213410300
7226025463
oct64767474
928118530
1013889340
1179272a3
124799990
132b53c5a
141bb79da
151345560
hexd3ef3c

13889340 has 144 divisors (see below), whose sum is σ = 46418400. Its totient is φ = 3446784.

The previous prime is 13889327. The next prime is 13889353. The reversal of 13889340 is 4398831.

It is an interprime number because it is at equal distance from previous prime (13889327) and next prime (13889353).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13889295 and 13889304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 156016 + ... + 156104.

It is an arithmetic number, because the mean of its divisors is an integer number (322350).

Almost surely, 213889340 is an apocalyptic number.

13889340 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 13889340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23209200).

13889340 is an abundant number, since it is smaller than the sum of its proper divisors (32529060).

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

13889340 is a wasteful number, since it uses less digits than its factorization.

13889340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 13889340 is about 3726.8404849148. The cubic root of 13889340 is about 240.3775308156.

The spelling of 13889340 in words is "thirteen million, eight hundred eighty-nine thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 27 30 34 36 45 51 54 60 68 85 89 90 102 108 135 153 170 178 180 204 255 267 270 289 306 340 356 445 459 510 534 540 578 612 765 801 867 890 918 1020 1068 1156 1335 1445 1513 1530 1602 1734 1780 1836 2295 2403 2601 2670 2890 3026 3060 3204 3468 4005 4335 4539 4590 4806 5202 5340 5780 6052 7565 7803 8010 8670 9078 9180 9612 10404 12015 13005 13617 15130 15606 16020 17340 18156 22695 24030 25721 26010 27234 30260 31212 39015 40851 45390 48060 51442 52020 54468 68085 77163 78030 81702 90780 102884 128605 136170 154326 156060 163404 204255 231489 257210 272340 308652 385815 408510 462978 514420 694467 771630 817020 925956 1157445 1388934 1543260 2314890 2777868 3472335 4629780 6944670 13889340