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1045260132 = 2237611371489
BaseRepresentation
bin111110010011010…
…110011101100100
32200211211201100020
4332103112131210
54120041311012
6251415315140
734621364430
oct7623263544
92624751306
101045260132
11497027454
1225207bab0
13138726027
149cb6d9c0
1561b71a8c
hex3e4d6764

1045260132 has 96 divisors (see below), whose sum is σ = 2855650560. Its totient is φ = 291409920.

The previous prime is 1045260131. The next prime is 1045260143. The reversal of 1045260132 is 2310625401.

It is not an unprimeable number, because it can be changed into a prime (1045260131) 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 31 ways as a sum of consecutive naturals, for example, 701244 + ... + 702732.

It is an arithmetic number, because the mean of its divisors is an integer number (29746360).

Almost surely, 21045260132 is an apocalyptic number.

1045260132 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 1045260132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1427825280).

1045260132 is an abundant number, since it is smaller than the sum of its proper divisors (1810390428).

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

1045260132 is a wasteful number, since it uses less digits than its factorization.

1045260132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1701 (or 1699 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1045260132 is about 32330.4830152598. The cubic root of 1045260132 is about 1014.8646577934.

Adding to 1045260132 its reverse (2310625401), we get a palindrome (3355885533).

The spelling of 1045260132 in words is "one billion, forty-five million, two hundred sixty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 61 84 122 137 183 244 274 366 411 427 548 732 822 854 959 1281 1489 1644 1708 1918 2562 2877 2978 3836 4467 5124 5754 5956 8357 8934 10423 11508 16714 17868 20846 25071 31269 33428 41692 50142 58499 62538 90829 100284 116998 125076 175497 181658 203993 233996 272487 350994 363316 407986 544974 611979 635803 701988 815972 1089948 1223958 1271606 1427951 1907409 2447916 2543212 2855902 3814818 4283853 5711804 7629636 8567706 12443573 17135412 24887146 37330719 49774292 74661438 87105011 149322876 174210022 261315033 348420044 522630066 1045260132