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13010040 = 2332571509
BaseRepresentation
bin110001101000…
…010001111000
3220110222102100
4301220101320
511312310130
61142503400
7215404101
oct61502170
926428370
1013010040
1173866aa
124434b60
132906964
141a293a8
15121ec60
hexc68478

13010040 has 96 divisors (see below), whose sum is σ = 42962400. Its totient is φ = 3413760.

The previous prime is 13009967. The next prime is 13010047. The reversal of 13010040 is 4001031.

It is a super-2 number, since 2×130100402 = 338522281603200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13010047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25306 + ... + 25814.

It is an arithmetic number, because the mean of its divisors is an integer number (447525).

Almost surely, 213010040 is an apocalyptic number.

13010040 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 13010040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21481200).

13010040 is an abundant number, since it is smaller than the sum of its proper divisors (29952360).

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

13010040 is a wasteful number, since it uses less digits than its factorization.

13010040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 13010040 is about 3606.9433042398. The cubic root of 13010040 is about 235.1939849913.

Adding to 13010040 its reverse (4001031), we get a palindrome (17011071).

Subtracting from 13010040 its reverse (4001031), we obtain a palindrome (9009009).

The spelling of 13010040 in words is "thirteen million, ten thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 71 72 90 120 142 180 213 284 355 360 426 509 568 639 710 852 1018 1065 1278 1420 1527 1704 2036 2130 2545 2556 2840 3054 3195 4072 4260 4581 5090 5112 6108 6390 7635 8520 9162 10180 12216 12780 15270 18324 20360 22905 25560 30540 36139 36648 45810 61080 72278 91620 108417 144556 180695 183240 216834 289112 325251 361390 433668 542085 650502 722780 867336 1084170 1301004 1445560 1626255 2168340 2602008 3252510 4336680 6505020 13010040