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13140540 = 22325710429
BaseRepresentation
bin110010001000…
…001000111100
3220201121102200
4302020020330
511330444130
61145351500
7216456420
oct62101074
926647380
1013140540
117465756
124498590
13295118a
141a60b80
151248760
hexc8823c

13140540 has 72 divisors (see below), whose sum is σ = 45558240. Its totient is φ = 3003264.

The previous prime is 13140529. The next prime is 13140551. The reversal of 13140540 is 4504131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13140529) and next prime (13140551).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3955 + ... + 6474.

Almost surely, 213140540 is an apocalyptic number.

13140540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13140540 is an abundant number, since it is smaller than the sum of its proper divisors (32417700).

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

13140540 is a wasteful number, since it uses less digits than its factorization.

13140540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10451 (or 10446 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 13140540 is about 3624.9882758431. The cubic root of 13140540 is about 235.9777581260.

Adding to 13140540 its reverse (4504131), we get a palindrome (17644671).

The spelling of 13140540 in words is "thirteen million, one hundred forty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 10429 20858 31287 41716 52145 62574 73003 93861 104290 125148 146006 156435 187722 208580 219009 292012 312870 365015 375444 438018 469305 625740 657027 730030 876036 938610 1095045 1314054 1460060 1877220 2190090 2628108 3285135 4380180 6570270 13140540