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12707040 = 2535231151
BaseRepresentation
bin110000011110…
…010011100000
3212220120210010
4300132103200
511223111130
61132204520
7213002523
oct60362340
925816703
1012707040
117199a95
124309740
13282ba78
14198abba
1511b00b0
hexc1e4e0

12707040 has 96 divisors (see below), whose sum is σ = 41803776. Its totient is φ = 3238400.

The previous prime is 12707011. The next prime is 12707047. The reversal of 12707040 is 4070721.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×127070402 = 322937731123200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12706998 and 12707016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12707047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10465 + ... + 11615.

It is an arithmetic number, because the mean of its divisors is an integer number (435456).

Almost surely, 212707040 is an apocalyptic number.

12707040 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 12707040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20901888).

12707040 is an abundant number, since it is smaller than the sum of its proper divisors (29096736).

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

12707040 is a wasteful number, since it uses less digits than its factorization.

12707040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1192 (or 1184 counting only the distinct ones).

The product of its (nonzero) digits is 392, while the sum is 21.

The square root of 12707040 is about 3564.6935352145. The cubic root of 12707040 is about 233.3537578493.

Adding to 12707040 its reverse (4070721), we get a palindrome (16777761).

The spelling of 12707040 in words is "twelve million, seven hundred seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 32 40 46 48 60 69 80 92 96 115 120 138 160 184 230 240 276 345 368 460 480 552 690 736 920 1104 1151 1380 1840 2208 2302 2760 3453 3680 4604 5520 5755 6906 9208 11040 11510 13812 17265 18416 23020 26473 27624 34530 36832 46040 52946 55248 69060 79419 92080 105892 110496 132365 138120 158838 184160 211784 264730 276240 317676 397095 423568 529460 552480 635352 794190 847136 1058920 1270704 1588380 2117840 2541408 3176760 4235680 6353520 12707040