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1040220024 = 233296722307
BaseRepresentation
bin111110000000000…
…111111101111000
32200111100122121120
4332000013331320
54112244020044
6251115305240
734530503304
oct7600077570
92614318546
101040220024
114941a4778
1225044b220
1313767cc0c
149c21ad04
15614c8519
hex3e007f78

1040220024 has 64 divisors (see below), whose sum is σ = 2730499200. Its totient is φ = 329771904.

The previous prime is 1040220023. The next prime is 1040220059. The reversal of 1040220024 is 4200220401.

It is a junction number, because it is equal to n+sod(n) for n = 1040219985 and 1040220012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1040220023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35479 + ... + 57785.

It is an arithmetic number, because the mean of its divisors is an integer number (42664050).

Almost surely, 21040220024 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 1040220024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1365249600).

1040220024 is an abundant number, since it is smaller than the sum of its proper divisors (1690279176).

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

1040220024 is a wasteful number, since it uses less digits than its factorization.

1040220024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22412 (or 22408 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 1040220024 is about 32252.4421400923. The cubic root of 1040220024 is about 1013.2308473029.

Adding to 1040220024 its reverse (4200220401), we get a palindrome (5240440425).

The spelling of 1040220024 in words is "one billion, forty million, two hundred twenty thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 29 58 67 87 116 134 174 201 232 268 348 402 536 696 804 1608 1943 3886 5829 7772 11658 15544 22307 23316 44614 46632 66921 89228 133842 178456 267684 535368 646903 1293806 1494569 1940709 2587612 2989138 3881418 4483707 5175224 5978276 7762836 8967414 11956552 15525672 17934828 35869656 43342501 86685002 130027503 173370004 260055006 346740008 520110012 1040220024