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10756242 = 2327194493
BaseRepresentation
bin101001000010…
…000010010010
3202020110210100
4221002002102
510223144432
61022313230
7160266210
oct51020222
922213710
1010756242
116087362
123728816
1322c7b53
1415ddcb0
15e2707c
hexa42092

10756242 has 48 divisors (see below), whose sum is σ = 28042560. Its totient is φ = 2910816.

The previous prime is 10756241. The next prime is 10756259. The reversal of 10756242 is 24265701.

It is a super-3 number, since 3×107562423 (a number of 22 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10756241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 148 + ... + 4640.

It is an arithmetic number, because the mean of its divisors is an integer number (584220).

Almost surely, 210756242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10756242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14021280).

10756242 is an abundant number, since it is smaller than the sum of its proper divisors (17286318).

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

10756242 is a wasteful number, since it uses less digits than its factorization.

10756242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4527 (or 4524 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 10756242 is about 3279.6710200872. The cubic root of 10756242 is about 220.7429564755.

The spelling of 10756242 in words is "ten million, seven hundred fifty-six thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 114 126 133 171 266 342 399 798 1197 2394 4493 8986 13479 26958 31451 40437 62902 80874 85367 94353 170734 188706 256101 283059 512202 566118 597569 768303 1195138 1536606 1792707 3585414 5378121 10756242