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1051453312 = 27713194751
BaseRepresentation
bin111110101010111…
…110011110000000
32201021111100210021
4332222332132000
54123133001222
6252200143224
735025130360
oct7652763600
92637440707
101051453312
1149a577488
12254167b14
13139ab3c30
149d9029a0
1562496ac7
hex3eabe780

1051453312 has 128 divisors (see below), whose sum is σ = 2714342400. Its totient is φ = 393984000.

The previous prime is 1051453267. The next prime is 1051453313. The reversal of 1051453312 is 2133541501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×10514533122 = 2211108134631538688, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1051453313) 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 15 ways as a sum of consecutive naturals, for example, 218937 + ... + 223687.

It is an arithmetic number, because the mean of its divisors is an integer number (21205800).

Almost surely, 21051453312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1051453312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1357171200).

1051453312 is an abundant number, since it is smaller than the sum of its proper divisors (1662889088).

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

1051453312 is a wasteful number, since it uses less digits than its factorization.

1051453312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4804 (or 4792 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 1051453312 is about 32426.1208287393. The cubic root of 1051453312 is about 1016.8650742875.

Adding to 1051453312 its reverse (2133541501), we get a palindrome (3184994813).

The spelling of 1051453312 in words is "one billion, fifty-one million, four hundred fifty-three thousand, three hundred twelve".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 32 38 52 56 64 76 91 104 112 128 133 152 182 208 224 247 266 304 364 416 448 494 532 608 728 832 896 988 1064 1216 1456 1664 1729 1976 2128 2432 2912 3458 3952 4256 4751 5824 6916 7904 8512 9502 11648 13832 15808 17024 19004 27664 31616 33257 38008 55328 61763 66514 76016 90269 110656 123526 133028 152032 180538 221312 247052 266056 304064 361076 432341 494104 532112 608128 631883 722152 864682 988208 1064224 1173497 1263766 1444304 1729364 1976416 2128448 2346994 2527532 2888608 3458728 3952832 4256896 4693988 5055064 5777216 6917456 7905664 8214479 9387976 10110128 11554432 13834912 16428958 18775952 20220256 27669824 32857916 37551904 40440512 55339648 65715832 75103808 80881024 131431664 150207616 262863328 525726656 1051453312