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1057215012 = 2237412511223
BaseRepresentation
bin111111000000111…
…101001000100100
32201200100002100120
4333000331020210
54131121340022
6252523441540
735125115340
oct7700751044
92650302316
101057215012
114a2852317
122560862b0
1313b050619
14a05a2620
1562c33d5c
hex3f03d224

1057215012 has 96 divisors (see below), whose sum is σ = 2901878784. Its totient is φ = 293280000.

The previous prime is 1057215007. The next prime is 1057215013. The reversal of 1057215012 is 2105127501.

It is a super-2 number, since 2×10572150122 = 2235407163196320288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1057215013) 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, 863833 + ... + 865055.

It is an arithmetic number, because the mean of its divisors is an integer number (30227904).

Almost surely, 21057215012 is an apocalyptic number.

1057215012 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 1057215012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1450939392).

1057215012 is an abundant number, since it is smaller than the sum of its proper divisors (1844663772).

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

1057215012 is a wasteful number, since it uses less digits than its factorization.

1057215012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1529 (or 1527 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 24.

The square root of 1057215012 is about 32514.8429490287. The cubic root of 1057215012 is about 1018.7190802866.

The spelling of 1057215012 in words is "one billion, fifty-seven million, two hundred fifteen thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 82 84 123 164 246 251 287 492 502 574 753 861 1004 1148 1223 1506 1722 1757 2446 3012 3444 3514 3669 4892 5271 7028 7338 8561 10291 10542 14676 17122 20582 21084 25683 30873 34244 41164 50143 51366 61746 72037 100286 102732 123492 144074 150429 200572 216111 288148 300858 306973 351001 432222 601716 613946 702002 864444 920919 1053003 1227892 1404004 1841838 2106006 2148811 3683676 4212012 4297622 6446433 8595244 12585893 12892866 25171786 25785732 37757679 50343572 75515358 88101251 151030716 176202502 264303753 352405004 528607506 1057215012