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10495056 = 24311213139
BaseRepresentation
bin101000000010…
…010001010000
3201202012111210
4220002101100
510141320211
61012540120
7155130555
oct50022120
921665453
1010495056
115a19100
123621640
132235cc0
141572a2c
15dc49a6
hexa02450

10495056 has 120 divisors (see below), whose sum is σ = 32324320. Its totient is φ = 2914560.

The previous prime is 10495033. The next prime is 10495117. The reversal of 10495056 is 65059401.

It is a super-2 number, since 2×104950562 = 220292400886272, which contains 22 as substring.

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, 75435 + ... + 75573.

Almost surely, 210495056 is an apocalyptic number.

10495056 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 10495056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16162160).

10495056 is an abundant number, since it is smaller than the sum of its proper divisors (21829264).

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

10495056 is a wasteful number, since it uses less digits than its factorization.

10495056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 10495056 is about 3239.6073836192. The cubic root of 10495056 is about 218.9415828009.

It can be divided in two parts, 1049 and 5056, that added together give a triangular number (6105 = T110).

The spelling of 10495056 in words is "ten million, four hundred ninety-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 121 132 139 143 156 176 208 242 264 278 286 312 363 417 429 484 528 556 572 624 726 834 858 968 1112 1144 1452 1529 1573 1668 1716 1807 1936 2224 2288 2904 3058 3146 3336 3432 3614 4587 4719 5421 5808 6116 6292 6672 6864 7228 9174 9438 10842 12232 12584 14456 16819 18348 18876 19877 21684 24464 25168 28912 33638 36696 37752 39754 43368 50457 59631 67276 73392 75504 79508 86736 100914 119262 134552 159016 201828 218647 238524 269104 318032 403656 437294 477048 655941 807312 874588 954096 1311882 1749176 2623764 3498352 5247528 10495056