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1054829961 = 321011160429
BaseRepresentation
bin111110110111110…
…110110110001001
32201111211220200100
4332313312312021
54130014024321
6252400400013
735065623003
oct7667666611
92644756610
101054829961
114a14733a9
12255316009
1313a6c6b53
14a0141373
1562912326
hex3edf6d89

1054829961 has 12 divisors (see below), whose sum is σ = 1538730180. Its totient is φ = 696256800.

The previous prime is 1054829939. The next prime is 1054829983. The reversal of 1054829961 is 1699284501.

1054829961 is a `hidden beast` number, since 10 + 548 + 2 + 9 + 96 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (1054829939) and next prime (1054829983).

It can be written as a sum of positive squares in 2 ways, for example, as 632774025 + 422055936 = 25155^2 + 20544^2 .

It is not a de Polignac number, because 1054829961 - 27 = 1054829833 is a prime.

It is a super-2 number, since 2×10548299612 = 2225332493246523042, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1054829921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 579306 + ... + 581123.

It is an arithmetic number, because the mean of its divisors is an integer number (128227515).

Almost surely, 21054829961 is an apocalyptic number.

It is an amenable number.

1054829961 is a deficient number, since it is larger than the sum of its proper divisors (483900219).

1054829961 is a wasteful number, since it uses less digits than its factorization.

1054829961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160536 (or 1160533 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 1054829961 is about 32478.1458984345. The cubic root of 1054829961 is about 1017.9524351106.

The spelling of 1054829961 in words is "one billion, fifty-four million, eight hundred twenty-nine thousand, nine hundred sixty-one".

Divisors: 1 3 9 101 303 909 1160429 3481287 10443861 117203329 351609987 1054829961