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1157721006 = 231329677639
BaseRepresentation
bin100010100000001…
…0110101110101110
32222200110022122210
41011000112232232
54332334033011
6310513551250
740455315621
oct10500265656
92880408583
101157721006
11544559a22
12283875526
13155b10520
14ada85db8
156b9886a6
hex45016bae

1157721006 has 64 divisors (see below), whose sum is σ = 2618380800. Its totient is φ = 338760576.

The previous prime is 1157721001. The next prime is 1157721011. The reversal of 1157721006 is 6001277511.

It is an interprime number because it is at equal distance from previous prime (1157721001) and next prime (1157721011).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1157721001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147735 + ... + 155373.

It is an arithmetic number, because the mean of its divisors is an integer number (40912200).

Almost surely, 21157721006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1157721006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1309190400).

1157721006 is an abundant number, since it is smaller than the sum of its proper divisors (1460659794).

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

1157721006 is a wasteful number, since it uses less digits than its factorization.

1157721006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7753.

The product of its (nonzero) digits is 2940, while the sum is 30.

The square root of 1157721006 is about 34025.2994990492. The cubic root of 1157721006 is about 1050.0290259550.

Adding to 1157721006 its reverse (6001277511), we get a palindrome (7158998517).

The spelling of 1157721006 in words is "one billion, one hundred fifty-seven million, seven hundred twenty-one thousand, six".

Divisors: 1 2 3 6 13 26 29 39 58 67 78 87 134 174 201 377 402 754 871 1131 1742 1943 2262 2613 3886 5226 5829 7639 11658 15278 22917 25259 45834 50518 75777 99307 151554 198614 221531 297921 443062 511813 595842 664593 1023626 1329186 1535439 2879903 3070878 5759806 6653569 8639709 13307138 14842577 17279418 19960707 29685154 39921414 44527731 89055462 192953501 385907002 578860503 1157721006