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1001254020 = 2235132195197
BaseRepresentation
bin111011101011011…
…110110010000100
32120210000222022020
4323223132302010
54022310112040
6243204203140
733545342634
oct7353366204
92523028266
101001254020
114741aaa68
1223b3994b0
1312c588c00
1496d966c4
155cd7ccd0
hex3badec84

1001254020 has 144 divisors (see below), whose sum is σ = 3196146240. Its totient is φ = 233445888.

The previous prime is 1001253991. The next prime is 1001254031. The reversal of 1001254020 is 204521001.

It is a super-2 number, since 2×10012540202 = 2005019225132320800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 190062 + ... + 195258.

It is an arithmetic number, because the mean of its divisors is an integer number (22195460).

Almost surely, 21001254020 is an apocalyptic number.

1001254020 is a gapful number since it is divisible by the number (10) 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 1001254020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1598073120).

1001254020 is an abundant number, since it is smaller than the sum of its proper divisors (2194892220).

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

1001254020 is a wasteful number, since it uses less digits than its factorization.

1001254020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5254 (or 5239 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 1001254020 is about 31642.5981866218. The cubic root of 1001254020 is about 1000.4178320587.

Adding to 1001254020 its reverse (204521001), we get a palindrome (1205775021).

The spelling of 1001254020 in words is "one billion, one million, two hundred fifty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 19 20 26 30 38 39 52 57 60 65 76 78 95 114 130 156 169 190 195 228 247 260 285 338 380 390 494 507 570 676 741 780 845 988 1014 1140 1235 1482 1690 2028 2470 2535 2964 3211 3380 3705 4940 5070 5197 6422 7410 9633 10140 10394 12844 14820 15591 16055 19266 20788 25985 31182 32110 38532 48165 51970 62364 64220 67561 77955 96330 98743 103940 135122 155910 192660 197486 202683 270244 296229 311820 337805 394972 405366 493715 592458 675610 810732 878293 987430 1013415 1184916 1283659 1351220 1481145 1756586 1974860 2026830 2567318 2634879 2962290 3513172 3850977 4053660 4391465 5134636 5269758 5924580 6418295 7701954 8782930 10539516 12836590 13174395 15403908 16687567 17565860 19254885 25673180 26348790 33375134 38509770 50062701 52697580 66750268 77019540 83437835 100125402 166875670 200250804 250313505 333751340 500627010 1001254020