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1011023424 = 26335211123
BaseRepresentation
bin111100010000101…
…111111001000000
32121110102022102000
4330100233321000
54032310222144
6244153424000
734024362105
oct7420577100
92543368360
101011023424
11479772954
1224270b000
131315c9818
14983baaac
155db5c769
hex3c42fe40

1011023424 has 112 divisors (see below), whose sum is σ = 2980578240. Its totient is φ = 336061440.

The previous prime is 1011023423. The next prime is 1011023477. The reversal of 1011023424 is 4243201101.

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

It is a junction number, because it is equal to n+sod(n) for n = 1011023397 and 1011023406.

It is not an unprimeable number, because it can be changed into a prime (1011023423) 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, 899727 + ... + 900849.

Almost surely, 21011023424 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 1011023424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1490289120).

1011023424 is an abundant number, since it is smaller than the sum of its proper divisors (1969554816).

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

1011023424 is a wasteful number, since it uses less digits than its factorization.

1011023424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1665 (or 1649 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1011023424 is about 31796.5945346353. The cubic root of 1011023424 is about 1003.6610549863.

Adding to 1011023424 its reverse (4243201101), we get a palindrome (5254224525).

The spelling of 1011023424 in words is "one billion, eleven million, twenty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 521 576 864 1042 1123 1563 1728 2084 2246 3126 3369 4168 4492 4689 6252 6738 8336 8984 9378 10107 12504 13476 14067 16672 17968 18756 20214 25008 26952 28134 30321 33344 35936 37512 40428 50016 53904 56268 60642 71872 75024 80856 100032 107808 112536 121284 150048 161712 215616 225072 242568 300096 323424 450144 485136 585083 646848 900288 970272 1170166 1755249 1940544 2340332 3510498 4680664 5265747 7020996 9361328 10531494 14041992 15797241 18722656 21062988 28083984 31594482 37445312 42125976 56167968 63188964 84251952 112335936 126377928 168503904 252755856 337007808 505511712 1011023424