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10742096 = 241773541
BaseRepresentation
bin101000111110…
…100101010000
3202012202101102
4220332211100
510222221341
61022123532
7160210031
oct50764520
922182342
1010742096
116077772
1237205a8
1322c1591
1415d8a88
15e22c9b
hexa3e950

10742096 has 40 divisors (see below), whose sum is σ = 22380264. Its totient is φ = 4976640.

The previous prime is 10742077. The next prime is 10742107. The reversal of 10742096 is 69024701.

It can be written as a sum of positive squares in 4 ways, for example, as 2676496 + 8065600 = 1636^2 + 2840^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19586 + ... + 20126.

Almost surely, 210742096 is an apocalyptic number.

10742096 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 10742096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11190132).

10742096 is an abundant number, since it is smaller than the sum of its proper divisors (11638168).

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

10742096 is a wasteful number, since it uses less digits than its factorization.

10742096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 10742096 is about 3277.5136918097. The cubic root of 10742096 is about 220.6461444797.

Adding to 10742096 its reverse (69024701), we get a palindrome (79766797).

The spelling of 10742096 in words is "ten million, seven hundred forty-two thousand, ninety-six".

Divisors: 1 2 4 8 16 17 34 68 73 136 146 272 292 541 584 1082 1168 1241 2164 2482 4328 4964 8656 9197 9928 18394 19856 36788 39493 73576 78986 147152 157972 315944 631888 671381 1342762 2685524 5371048 10742096