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1032020442 = 232233197829
BaseRepresentation
bin111101100000110…
…110000111011010
32122220221001220100
4331200312013122
54103144123232
6250223440230
734401012645
oct7540660732
92586831810
101032020442
1148a604262
12249756076
13135a6b9ab
149b0c4a5c
1560908c7c
hex3d8361da

1032020442 has 96 divisors (see below), whose sum is σ = 2436295680. Its totient is φ = 314772480.

The previous prime is 1032020369. The next prime is 1032020443. The reversal of 1032020442 is 2440202301.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1032020443) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1244484 + ... + 1245312.

It is an arithmetic number, because the mean of its divisors is an integer number (25378080).

Almost surely, 21032020442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1032020442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1218147840).

1032020442 is an abundant number, since it is smaller than the sum of its proper divisors (1404275238).

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

1032020442 is a wasteful number, since it uses less digits than its factorization.

1032020442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988 (or 985 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 1032020442 is about 32125.0749726752. The cubic root of 1032020442 is about 1010.5615418016.

Adding to 1032020442 its reverse (2440202301), we get a palindrome (3472222743).

The spelling of 1032020442 in words is "one billion, thirty-two million, twenty thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 23 31 46 62 69 93 97 138 186 194 207 279 291 414 558 582 713 829 873 1426 1658 1746 2139 2231 2487 3007 4278 4462 4974 6014 6417 6693 7461 9021 12834 13386 14922 18042 19067 20079 25699 27063 38134 40158 51398 54126 57201 69161 77097 80413 114402 138322 154194 160826 171603 207483 231291 241239 343206 414966 462582 482478 591077 622449 723717 1182154 1244898 1447434 1773231 1849499 2492803 3546462 3698998 4985606 5319693 5548497 7478409 10639386 11096994 14956818 16645491 22435227 33290982 44870454 57334469 114668938 172003407 344006814 516010221 1032020442