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1057322412 = 22321719791151
BaseRepresentation
bin111111000001010…
…111010110101100
32201200112112200100
4333001113112230
54131133304122
6252530031100
735126043426
oct7701272654
92650475610
101057322412
114a2915a83
12256118490
1313b08a483
14a05cd816
1562c55aac
hex3f0575ac

1057322412 has 144 divisors (see below), whose sum is σ = 3019161600. Its totient is φ = 310003200.

The previous prime is 1057322381. The next prime is 1057322423. The reversal of 1057322412 is 2142237501.

It is a super-3 number, since 3×10573224123 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 918037 + ... + 919187.

It is an arithmetic number, because the mean of its divisors is an integer number (20966400).

Almost surely, 21057322412 is an apocalyptic number.

1057322412 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 1057322412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1509580800).

1057322412 is an abundant number, since it is smaller than the sum of its proper divisors (1961839188).

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

1057322412 is a wasteful number, since it uses less digits than its factorization.

1057322412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 1057322412 is about 32516.4944605042. The cubic root of 1057322412 is about 1018.7535755479.

Adding to 1057322412 its reverse (2142237501), we get a palindrome (3199559913).

The spelling of 1057322412 in words is "one billion, fifty-seven million, three hundred twenty-two thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 17 18 19 34 36 38 51 57 68 76 79 102 114 153 158 171 204 228 237 306 316 323 342 474 612 646 684 711 948 969 1151 1292 1343 1422 1501 1938 2302 2686 2844 2907 3002 3453 3876 4029 4503 4604 5372 5814 6004 6906 8058 9006 10359 11628 12087 13509 13812 16116 18012 19567 20718 21869 24174 25517 27018 39134 41436 43738 48348 51034 54036 58701 65607 76551 78268 87476 90929 102068 117402 131214 153102 176103 181858 196821 229653 234804 262428 272787 306204 352206 363716 371773 393642 459306 545574 704412 743546 787284 818361 918612 1091148 1115319 1487092 1545793 1636722 1727651 2230638 3091586 3273444 3345957 3455302 4461276 4637379 5182953 6183172 6691914 6910604 9274758 10365906 13383828 13912137 15548859 18549516 20731812 27824274 29370067 31097718 55648548 58740134 62195436 88110201 117480268 176220402 264330603 352440804 528661206 1057322412