Search a number
-
+
1057870740 = 2235237310501
BaseRepresentation
bin111111000011011…
…101001110010100
32201201120101211210
4333003131032110
54131303330430
6252545501420
735133516153
oct7703351624
92651511753
101057870740
114a315aa43
12256341870
1313b21cc24
14a06d359a
1562d132b0
hex3f0dd394

1057870740 has 96 divisors (see below), whose sum is σ = 3133460736. Its totient is φ = 266112000.

The previous prime is 1057870739. The next prime is 1057870741. The reversal of 1057870740 is 470787501.

It is an interprime number because it is at equal distance from previous prime (1057870739) and next prime (1057870741).

It is a super-2 number, since 2×10578707402 = 2238181005096295200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057870741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95490 + ... + 105990.

It is an arithmetic number, because the mean of its divisors is an integer number (32640216).

Almost surely, 21057870740 is an apocalyptic number.

1057870740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1057870740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1566730368).

1057870740 is an abundant number, since it is smaller than the sum of its proper divisors (2075589996).

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

1057870740 is a wasteful number, since it uses less digits than its factorization.

1057870740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10609 (or 10607 counting only the distinct ones).

The product of its (nonzero) digits is 54880, while the sum is 39.

The square root of 1057870740 is about 32524.9249038334. The cubic root of 1057870740 is about 1018.9296538399.

It can be divided in two parts, 10578 and 70740, that added together give a palindrome (81318).

The spelling of 1057870740 in words is "one billion, fifty-seven million, eight hundred seventy thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 73 92 115 138 146 219 230 276 292 345 365 438 460 690 730 876 1095 1380 1460 1679 2190 3358 4380 5037 6716 8395 10074 10501 16790 20148 21002 25185 31503 33580 42004 50370 52505 63006 100740 105010 126012 157515 210020 241523 315030 483046 630060 724569 766573 966092 1207615 1449138 1533146 2299719 2415230 2898276 3066292 3622845 3832865 4599438 4830460 7245690 7665730 9198876 11498595 14491380 15331460 17631179 22997190 35262358 45994380 52893537 70524716 88155895 105787074 176311790 211574148 264467685 352623580 528935370 1057870740