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10554096 = 2437101311
BaseRepresentation
bin101000010000…
…101011110000
3201212012111110
4220100223300
510200212341
61014113320
7155464650
oct50205360
921765443
1010554096
115a594a3
12364b840
132256b37
14158a360
15dd7216
hexa10af0

10554096 has 80 divisors (see below), whose sum is σ = 31569408. Its totient is φ = 2976000.

The previous prime is 10554091. The next prime is 10554107. The reversal of 10554096 is 69045501.

It is a super-2 number, since 2×105540962 = 222777884754432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10554091) 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, 33781 + ... + 34091.

Almost surely, 210554096 is an apocalyptic number.

10554096 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 10554096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15784704).

10554096 is an abundant number, since it is smaller than the sum of its proper divisors (21015312).

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

10554096 is a wasteful number, since it uses less digits than its factorization.

10554096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 424 counting only the distinct ones).

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

The square root of 10554096 is about 3248.7068196438. The cubic root of 10554096 is about 219.3513677354.

Adding to 10554096 its reverse (69045501), we get a palindrome (79599597).

It can be divided in two parts, 1055 and 4096, that added together give a triangular number (5151 = T101).

The spelling of 10554096 in words is "ten million, five hundred fifty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 101 112 168 202 303 311 336 404 606 622 707 808 933 1212 1244 1414 1616 1866 2121 2177 2424 2488 2828 3732 4242 4354 4848 4976 5656 6531 7464 8484 8708 11312 13062 14928 16968 17416 26124 31411 33936 34832 52248 62822 94233 104496 125644 188466 219877 251288 376932 439754 502576 659631 753864 879508 1319262 1507728 1759016 2638524 3518032 5277048 10554096