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96962121 = 32101106669
BaseRepresentation
bin1011100011110…
…00011001001001
320202110012000200
411301320121021
5144310241441
613342122413
72255110254
oct561703111
9222405020
1096962121
114a807093
1228580409
131711bb49
14cc4009b
1587a47b6
hex5c78649

96962121 has 12 divisors (see below), whose sum is σ = 141444420. Its totient is φ = 64000800.

The previous prime is 96962093. The next prime is 96962143. The reversal of 96962121 is 12126969.

96962121 is a `hidden beast` number, since 9 + 6 + 9 + 621 + 21 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 52925625 + 44036496 = 7275^2 + 6636^2 .

It is not a de Polignac number, because 96962121 - 29 = 96961609 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (96962221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52426 + ... + 54243.

It is an arithmetic number, because the mean of its divisors is an integer number (11787035).

Almost surely, 296962121 is an apocalyptic number.

It is an amenable number.

96962121 is a deficient number, since it is larger than the sum of its proper divisors (44482299).

96962121 is a wasteful number, since it uses less digits than its factorization.

96962121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106776 (or 106773 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 96962121 is about 9846.9345991532. The cubic root of 96962121 is about 459.4102729544.

The spelling of 96962121 in words is "ninety-six million, nine hundred sixty-two thousand, one hundred twenty-one".

Divisors: 1 3 9 101 303 909 106669 320007 960021 10773569 32320707 96962121