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13946040 = 2333537349
BaseRepresentation
bin110101001100…
…110010111000
3222020112101000
4311030302320
512032233130
61214525000
7226353003
oct65146270
928215330
1013946040
117965959
124806760
132b739c4
141bd053a
151357260
hexd4ccb8

13946040 has 128 divisors (see below), whose sum is σ = 47880000. Its totient is φ = 3608064.

The previous prime is 13946017. The next prime is 13946047. The reversal of 13946040 is 4064931.

13946040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13945995 and 13946013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13946047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39786 + ... + 40134.

Almost surely, 213946040 is an apocalyptic number.

13946040 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 13946040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23940000).

13946040 is an abundant number, since it is smaller than the sum of its proper divisors (33933960).

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

13946040 is a wasteful number, since it uses less digits than its factorization.

13946040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 13946040 is about 3734.4397170124. The cubic root of 13946040 is about 240.7041818456.

The spelling of 13946040 in words is "thirteen million, nine hundred forty-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 37 40 45 54 60 72 74 90 108 111 120 135 148 180 185 216 222 270 296 333 349 360 370 444 540 555 666 698 740 888 999 1047 1080 1110 1332 1396 1480 1665 1745 1998 2094 2220 2664 2792 3141 3330 3490 3996 4188 4440 4995 5235 6282 6660 6980 7992 8376 9423 9990 10470 12564 12913 13320 13960 15705 18846 19980 20940 25128 25826 31410 37692 38739 39960 41880 47115 51652 62820 64565 75384 77478 94230 103304 116217 125640 129130 154956 188460 193695 232434 258260 309912 348651 376920 387390 464868 516520 581085 697302 774780 929736 1162170 1394604 1549560 1743255 2324340 2789208 3486510 4648680 6973020 13946040