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10771296 = 253295373
BaseRepresentation
bin101001000101…
…101101100000
3202021020102220
4221011231200
510224140141
61022511040
7160361124
oct51055540
922236386
1010771296
1160976a8
123735480
132301963
141605584
15e2b766
hexa45b60

10771296 has 96 divisors (see below), whose sum is σ = 30209760. Its totient is φ = 3354624.

The previous prime is 10771289. The next prime is 10771297. The reversal of 10771296 is 69217701.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10771297) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 147516 + ... + 147588.

It is an arithmetic number, because the mean of its divisors is an integer number (314685).

Almost surely, 210771296 is an apocalyptic number.

10771296 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 10771296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15104880).

10771296 is an abundant number, since it is smaller than the sum of its proper divisors (19438464).

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

10771296 is a wasteful number, since it uses less digits than its factorization.

10771296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 33.

The square root of 10771296 is about 3281.9652648985. The cubic root of 10771296 is about 220.8458894328.

Adding to 10771296 its reverse (69217701), we get a palindrome (79988997).

The spelling of 10771296 in words is "ten million, seven hundred seventy-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 53 58 73 87 96 106 116 146 159 174 212 219 232 292 318 348 424 438 464 584 636 696 848 876 928 1168 1272 1392 1537 1696 1752 2117 2336 2544 2784 3074 3504 3869 4234 4611 5088 6148 6351 7008 7738 8468 9222 11607 12296 12702 15476 16936 18444 23214 24592 25404 30952 33872 36888 46428 49184 50808 61904 67744 73776 92856 101616 112201 123808 147552 185712 203232 224402 336603 371424 448804 673206 897608 1346412 1795216 2692824 3590432 5385648 10771296