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1006051992 = 2331129331397
BaseRepresentation
bin111011111101110…
…010001010011000
32121010001201212220
4323331302022120
54030022130432
6243455104040
733634205121
oct7375621230
92533051786
101006051992
11476987830
12240b12020
13130578a4a
1497885048
155d4c972c
hex3bf72298

1006051992 has 128 divisors (see below), whose sum is σ = 2854137600. Its totient is φ = 292723200.

The previous prime is 1006051979. The next prime is 1006051997. The reversal of 1006051992 is 2991506001.

It is a super-2 number, since 2×10060519922 = 2024281221214336128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1006051997) 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, 2533938 + ... + 2534334.

It is an arithmetic number, because the mean of its divisors is an integer number (22297950).

Almost surely, 21006051992 is an apocalyptic number.

1006051992 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 1006051992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1427068800).

1006051992 is an abundant number, since it is smaller than the sum of its proper divisors (1848085608).

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

1006051992 is a wasteful number, since it uses less digits than its factorization.

1006051992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 777 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 33.

The square root of 1006051992 is about 31718.3226542640. The cubic root of 1006051992 is about 1002.0132746716.

Adding to 1006051992 its reverse (2991506001), we get a palindrome (3997557993).

The spelling of 1006051992 in words is "one billion, six million, fifty-one thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 29 33 44 58 66 87 88 116 132 174 232 264 319 331 348 397 638 662 696 794 957 993 1191 1276 1324 1588 1914 1986 2382 2552 2648 3176 3641 3828 3972 4367 4764 7282 7656 7944 8734 9528 9599 10923 11513 13101 14564 17468 19198 21846 23026 26202 28797 29128 34539 34936 38396 43692 46052 52404 57594 69078 76792 87384 92104 104808 105589 115188 126643 131407 138156 211178 230376 253286 262814 276312 316767 379929 394221 422356 506572 525628 633534 759858 788442 844712 1013144 1051256 1267068 1445477 1519716 1576884 2534136 2890954 3039432 3153768 3810803 4336431 5781908 7621606 8672862 11432409 11563816 15243212 17345724 22864818 30486424 34691448 41918833 45729636 83837666 91459272 125756499 167675332 251512998 335350664 503025996 1006051992