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10757377 = 137233337
BaseRepresentation
bin101001000010…
…010100000001
3202020112100101
4221002110001
510223214002
61022322401
7160302421
oct51022401
922215311
1010757377
1160881a4
123729401
1322c8517
141600481
15e27587
hexa42501

10757377 has 8 divisors (see below), whose sum is σ = 10914696. Its totient is φ = 10601472.

The previous prime is 10757371. The next prime is 10757389. The reversal of 10757377 is 77375701.

It can be written as a sum of positive squares in 4 ways, for example, as 266256 + 10491121 = 516^2 + 3239^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10757377 is a prime.

It is a deceptive number, since it divides R10757376.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10757371) 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 7 ways as a sum of consecutive naturals, for example, 31753 + ... + 32089.

It is an arithmetic number, because the mean of its divisors is an integer number (1364337).

Almost surely, 210757377 is an apocalyptic number.

It is an amenable number.

10757377 is a deficient number, since it is larger than the sum of its proper divisors (157319).

10757377 is a wasteful number, since it uses less digits than its factorization.

10757377 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707.

The product of its (nonzero) digits is 36015, while the sum is 37.

The square root of 10757377 is about 3279.8440511707. The cubic root of 10757377 is about 220.7507204772.

The spelling of 10757377 in words is "ten million, seven hundred fifty-seven thousand, three hundred seventy-seven".

Divisors: 1 137 233 337 31921 46169 78521 10757377