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13641240 = 23351931193
BaseRepresentation
bin110100000010…
…011000011000
3221200001021010
4310002120120
511443004430
61204213520
7223643244
oct64023030
927601233
1013641240
117777958
12469a2a0
132a98052
141b51424
1512e6cb0
hexd02618

13641240 has 128 divisors (see below), whose sum is σ = 44697600. Its totient is φ = 3317760.

The previous prime is 13641239. The next prime is 13641263. The reversal of 13641240 is 4214631.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 70584 + ... + 70776.

It is an arithmetic number, because the mean of its divisors is an integer number (349200).

Almost surely, 213641240 is an apocalyptic number.

13641240 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 13641240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22348800).

13641240 is an abundant number, since it is smaller than the sum of its proper divisors (31056360).

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

13641240 is a wasteful number, since it uses less digits than its factorization.

13641240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 13641240 is about 3693.4049331207. The cubic root of 13641240 is about 238.9376657405.

Adding to 13641240 its reverse (4214631), we get a palindrome (17855871).

The spelling of 13641240 in words is "thirteen million, six hundred forty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 31 38 40 57 60 62 76 93 95 114 120 124 152 155 186 190 193 228 248 285 310 372 380 386 456 465 570 579 589 620 744 760 772 930 965 1140 1158 1178 1240 1544 1767 1860 1930 2280 2316 2356 2895 2945 3534 3667 3720 3860 4632 4712 5790 5890 5983 7068 7334 7720 8835 11001 11580 11780 11966 14136 14668 17670 17949 18335 22002 23160 23560 23932 29336 29915 35340 35898 36670 44004 47864 55005 59830 70680 71796 73340 88008 89745 110010 113677 119660 143592 146680 179490 220020 227354 239320 341031 358980 440040 454708 568385 682062 717960 909416 1136770 1364124 1705155 2273540 2728248 3410310 4547080 6820620 13641240