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1157721072 = 243197871613
BaseRepresentation
bin100010100000001…
…0110101111110000
32222200110022202020
41011000112233300
54332334033242
6310513551440
740455316044
oct10500265760
92880408666
101157721072
11544559a82
12283875580
13155b10571
14ada86024
156b9886ec
hex45016bf0

1157721072 has 80 divisors (see below), whose sum is σ = 3154143360. Its totient is φ = 364905216.

The previous prime is 1157721049. The next prime is 1157721079. The reversal of 1157721072 is 2701277511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1157721079) 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, 716938 + ... + 718550.

It is an arithmetic number, because the mean of its divisors is an integer number (39426792).

Almost surely, 21157721072 is an apocalyptic number.

1157721072 is a gapful number since it is divisible by the number (12) 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 1157721072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1577071680).

1157721072 is an abundant number, since it is smaller than the sum of its proper divisors (1996422288).

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

1157721072 is a wasteful number, since it uses less digits than its factorization.

1157721072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2430 (or 2424 counting only the distinct ones).

The product of its (nonzero) digits is 6860, while the sum is 33.

The square root of 1157721072 is about 34025.3004689158. The cubic root of 1157721072 is about 1050.0290459085.

Adding to 1157721072 its reverse (2701277511), we get a palindrome (3858998583).

The spelling of 1157721072 in words is "one billion, one hundred fifty-seven million, seven hundred twenty-one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 787 912 1574 1613 2361 3148 3226 4722 4839 6296 6452 9444 9678 12592 12904 14953 18888 19356 25808 29906 30647 37776 38712 44859 59812 61294 77424 89718 91941 119624 122588 179436 183882 239248 245176 358872 367764 490352 717744 735528 1269431 1471056 2538862 3808293 5077724 7616586 10155448 15233172 20310896 24119189 30466344 48238378 60932688 72357567 96476756 144715134 192953512 289430268 385907024 578860536 1157721072