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1023252412 = 2271321012141
BaseRepresentation
bin111100111111011…
…001011110111100
32122022102121102111
4330333121132330
54043423034122
6245311503404
734233334120
oct7477313674
92568377374
101023252412
11485665756
12246827b64
13133cbbb00
1499c81580
155ec75d77
hex3cfd97bc

1023252412 has 72 divisors (see below), whose sum is σ = 2239024032. Its totient is φ = 400608000.

The previous prime is 1023252331. The next prime is 1023252413. The reversal of 1023252412 is 2142523201.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1023252413) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 476862 + ... + 479002.

It is an arithmetic number, because the mean of its divisors is an integer number (31097556).

Almost surely, 21023252412 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 1023252412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1119512016).

1023252412 is an abundant number, since it is smaller than the sum of its proper divisors (1215771620).

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

1023252412 is a wasteful number, since it uses less digits than its factorization.

1023252412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2279 (or 2264 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 1023252412 is about 31988.3168047336. The cubic root of 1023252412 is about 1007.6914932576.

Adding to 1023252412 its reverse (2142523201), we get a palindrome (3165775613).

The spelling of 1023252412 in words is "one billion, twenty-three million, two hundred fifty-two thousand, four hundred twelve".

Divisors: 1 2 4 7 13 14 26 28 52 91 101 169 182 202 338 364 404 676 707 1183 1313 1414 2141 2366 2626 2828 4282 4732 5252 8564 9191 14987 17069 18382 27833 29974 34138 36764 55666 59948 68276 111332 119483 194831 216241 238966 361829 389662 432482 477932 723658 779324 864964 1447316 1513687 2532803 2811133 3027374 5065606 5622266 6054748 10131212 11244532 19677931 36544729 39355862 73089458 78711724 146178916 255813103 511626206 1023252412