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10716080 = 2452931149
BaseRepresentation
bin101000111000…
…001110110000
3202011102200212
4220320032300
510220403310
61021403252
7160041134
oct50701660
922142625
1010716080
11605a171
123709528
1322b279b
1415cd3c4
15e1a205
hexa383b0

10716080 has 80 divisors (see below), whose sum is σ = 26784000. Its totient is φ = 3978240.

The previous prime is 10716077. The next prime is 10716119. The reversal of 10716080 is 8061701.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×107160802 = 229668741132800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71846 + ... + 71994.

It is an arithmetic number, because the mean of its divisors is an integer number (334800).

Almost surely, 210716080 is an apocalyptic number.

10716080 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 10716080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13392000).

10716080 is an abundant number, since it is smaller than the sum of its proper divisors (16067920).

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

10716080 is a wasteful number, since it uses less digits than its factorization.

10716080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 23.

The square root of 10716080 is about 3273.5424237361. The cubic root of 10716080 is about 220.4678747871.

Adding to 10716080 its reverse (8061701), we get a palindrome (18777781).

The spelling of 10716080 in words is "ten million, seven hundred sixteen thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 29 31 40 58 62 80 116 124 145 149 155 232 248 290 298 310 464 496 580 596 620 745 899 1160 1192 1240 1490 1798 2320 2384 2480 2980 3596 4321 4495 4619 5960 7192 8642 8990 9238 11920 14384 17284 17980 18476 21605 23095 34568 35960 36952 43210 46190 69136 71920 73904 86420 92380 133951 172840 184760 267902 345680 369520 535804 669755 1071608 1339510 2143216 2679020 5358040 10716080