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10077493 is a prime number
BaseRepresentation
bin100110011100…
…010100110101
3200221222201111
4212130110311
510034434433
6555555021
7151441306
oct46342465
920858644
1010077493
115763408
12345ba71
13211ac1a
1414a47ad
15d40dcd
hex99c535

10077493 has 2 divisors, whose sum is σ = 10077494. Its totient is φ = 10077492.

The previous prime is 10077469. The next prime is 10077517. The reversal of 10077493 is 39477001.

10077493 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (10077469) and next prime (10077517).

It can be written as a sum of positive squares in only one way, i.e., 5654884 + 4422609 = 2378^2 + 2103^2 .

It is an emirp because it is prime and its reverse (39477001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10077493 - 221 = 7980341 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10077433) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5038746 + 5038747.

It is an arithmetic number, because the mean of its divisors is an integer number (5038747).

Almost surely, 210077493 is an apocalyptic number.

It is an amenable number.

10077493 is a deficient number, since it is larger than the sum of its proper divisors (1).

10077493 is an equidigital number, since it uses as much as digits as its factorization.

10077493 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5292, while the sum is 31.

The square root of 10077493 is about 3174.5067333367. The cubic root of 10077493 is about 215.9985496588.

The spelling of 10077493 in words is "ten million, seventy-seven thousand, four hundred ninety-three".