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13716040 = 2351322029
BaseRepresentation
bin110100010100…
…101001001000
3221210211212111
4310110221020
512002403130
61205552104
7224404312
oct64245110
927724774
1013716040
117819078
124715634
132ac3100
141b707b2
15130e02a
hexd14a48

13716040 has 48 divisors (see below), whose sum is σ = 33434100. Its totient is φ = 5061888.

The previous prime is 13716037. The next prime is 13716067. The reversal of 13716040 is 4061731.

It can be written as a sum of positive squares in 6 ways, for example, as 5317636 + 8398404 = 2306^2 + 2898^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5746 + ... + 7774.

Almost surely, 213716040 is an apocalyptic number.

13716040 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 13716040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16717050).

13716040 is an abundant number, since it is smaller than the sum of its proper divisors (19718060).

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

13716040 is a wasteful number, since it uses less digits than its factorization.

13716040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2066 (or 2049 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 22.

The square root of 13716040 is about 3703.5172471584. The cubic root of 13716040 is about 239.3735979894.

Adding to 13716040 its reverse (4061731), we get a palindrome (17777771).

The spelling of 13716040 in words is "thirteen million, seven hundred sixteen thousand, forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 169 260 338 520 676 845 1352 1690 2029 3380 4058 6760 8116 10145 16232 20290 26377 40580 52754 81160 105508 131885 211016 263770 342901 527540 685802 1055080 1371604 1714505 2743208 3429010 6858020 13716040