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1057042184 = 231117838513
BaseRepresentation
bin111111000000010…
…010111100001000
32201200000022021112
4333000102330020
54131100322214
6252520025452
735123465432
oct7700227410
92650008245
101057042184
114a2744490
12256002288
1313acbca63
14a0559652
1562beca3e
hex3f012f08

1057042184 has 64 divisors (see below), whose sum is σ = 2317170240. Its totient is φ = 446709760.

The previous prime is 1057042163. The next prime is 1057042187. The reversal of 1057042184 is 4812407501.

It is a happy number.

It is a super-2 number, since 2×10570421842 = 2234676357510979712, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1057042184.

It is not an unprimeable number, because it can be changed into a prime (1057042187) 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 15 ways as a sum of consecutive naturals, for example, 119912 + ... + 128424.

It is an arithmetic number, because the mean of its divisors is an integer number (36205785).

Almost surely, 21057042184 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1057042184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1158585120).

1057042184 is an abundant number, since it is smaller than the sum of its proper divisors (1260128056).

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

1057042184 is a wasteful number, since it uses less digits than its factorization.

1057042184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8630 (or 8626 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 32.

The square root of 1057042184 is about 32512.1851618743. The cubic root of 1057042184 is about 1018.6635656328.

Adding to 1057042184 its reverse (4812407501), we get a palindrome (5869449685).

The spelling of 1057042184 in words is "one billion, fifty-seven million, forty-two thousand, one hundred eighty-four".

Divisors: 1 2 4 8 11 17 22 34 44 68 83 88 136 166 187 332 374 664 748 913 1411 1496 1826 2822 3652 5644 7304 8513 11288 15521 17026 31042 34052 62084 68104 93643 124168 144721 187286 289442 374572 578884 706579 749144 1157768 1413158 1591931 2826316 3183862 5652632 6367724 7772369 12011843 12735448 15544738 24023686 31089476 48047372 62178952 96094744 132130273 264260546 528521092 1057042184