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10780056 = 2332773293
BaseRepresentation
bin101001000111…
…110110011000
3202021200110100
4221013312120
510224430211
61023015400
7160425510
oct51076630
922250410
1010780056
1160a3241
12373a560
132305941
141608840
15e2e156
hexa47d98

10780056 has 96 divisors (see below), whose sum is σ = 33939360. Its totient is φ = 3027456.

The previous prime is 10780051. The next prime is 10780069. The reversal of 10780056 is 65008701.

10780056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10780051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36646 + ... + 36938.

It is an arithmetic number, because the mean of its divisors is an integer number (353535).

Almost surely, 210780056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10780056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16969680).

10780056 is an abundant number, since it is smaller than the sum of its proper divisors (23159304).

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

10780056 is a wasteful number, since it uses less digits than its factorization.

10780056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 10780056 is about 3283.2995598940. The cubic root of 10780056 is about 220.9057425144.

Adding to 10780056 its reverse (65008701), we get a palindrome (75788757).

The spelling of 10780056 in words is "ten million, seven hundred eighty thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 73 84 126 146 168 219 252 292 293 438 504 511 584 586 657 876 879 1022 1172 1314 1533 1752 1758 2044 2051 2344 2628 2637 3066 3516 4088 4102 4599 5256 5274 6132 6153 7032 8204 9198 10548 12264 12306 16408 18396 18459 21096 21389 24612 36792 36918 42778 49224 64167 73836 85556 128334 147672 149723 171112 192501 256668 299446 385002 449169 513336 598892 770004 898338 1197784 1347507 1540008 1796676 2695014 3593352 5390028 10780056