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10728540 = 22325193137
BaseRepresentation
bin101000111011…
…010001011100
3202012001210100
4220323101130
510221303130
61021541100
7160122354
oct50732134
922161710
1010728540
116068569
123714790
1322b8364
1415d3b64
15e1dc60
hexa3b45c

10728540 has 72 divisors (see below), whose sum is σ = 34266960. Its totient is φ = 2709504.

The previous prime is 10728539. The next prime is 10728577. The reversal of 10728540 is 4582701.

10728540 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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, 1852 + ... + 4988.

It is an arithmetic number, because the mean of its divisors is an integer number (475930).

Almost surely, 210728540 is an apocalyptic number.

10728540 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 10728540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17133480).

10728540 is an abundant number, since it is smaller than the sum of its proper divisors (23538420).

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

10728540 is a wasteful number, since it uses less digits than its factorization.

10728540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3171 (or 3166 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 10728540 is about 3275.4450079340. The cubic root of 10728540 is about 220.5532905272.

The spelling of 10728540 in words is "ten million, seven hundred twenty-eight thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3137 3420 6274 9411 12548 15685 18822 28233 31370 37644 47055 56466 59603 62740 94110 112932 119206 141165 178809 188220 238412 282330 298015 357618 536427 564660 596030 715236 894045 1072854 1192060 1788090 2145708 2682135 3576180 5364270 10728540