[go: up one dir, main page]

Search a number
-
+
10745856 = 211321153
BaseRepresentation
bin101000111111…
…100000000000
3202012221112200
4220333200000
510222331411
61022153200
7160224012
oct50774000
922187480
1010745856
11607a580
123722800
1322c31c4
1415da1b2
15e23e56
hexa3f800

10745856 has 144 divisors (see below), whose sum is σ = 34496280. Its totient is φ = 3194880.

The previous prime is 10745843. The next prime is 10745879. The reversal of 10745856 is 65854701.

10745856 is a `hidden beast` number, since 1 + 0 + 74 + 585 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 10745856.

It is a congruent number.

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, 202726 + ... + 202778.

Almost surely, 210745856 is an apocalyptic number.

10745856 is a gapful number since it is divisible by the number (16) 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 10745856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17248140).

10745856 is an abundant number, since it is smaller than the sum of its proper divisors (23750424).

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

10745856 is a wasteful number, since it uses less digits than its factorization.

10745856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 10745856 is about 3278.0872471611. The cubic root of 10745856 is about 220.6718853508.

The spelling of 10745856 in words is "ten million, seven hundred forty-five thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 53 64 66 72 88 96 99 106 128 132 144 159 176 192 198 212 256 264 288 318 352 384 396 424 477 512 528 576 583 636 704 768 792 848 954 1024 1056 1152 1166 1272 1408 1536 1584 1696 1749 1908 2048 2112 2304 2332 2544 2816 3072 3168 3392 3498 3816 4224 4608 4664 5088 5247 5632 6144 6336 6784 6996 7632 8448 9216 9328 10176 10494 11264 12672 13568 13992 15264 16896 18432 18656 20352 20988 22528 25344 27136 27984 30528 33792 37312 40704 41976 50688 54272 55968 61056 67584 74624 81408 83952 101376 108544 111936 122112 149248 162816 167904 202752 223872 244224 298496 325632 335808 447744 488448 596992 671616 895488 976896 1193984 1343232 1790976 2686464 3581952 5372928 10745856