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10001220 = 22351931283
BaseRepresentation
bin100110001001…
…101101000100
3200211010002120
4212021231010
510030014340
6554205540
7151003035
oct46115504
920733076
1010001220
115711079
1234238b0
1320c22a8
141484a8c
15d284d0
hex989b44

10001220 has 96 divisors (see below), whose sum is σ = 30535680. Its totient is φ = 2436480.

The previous prime is 10001213. The next prime is 10001221. The reversal of 10001220 is 2210001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 10001199 and 10001208.

It is not an unprimeable number, because it can be changed into a prime (10001221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35199 + ... + 35481.

It is an arithmetic number, because the mean of its divisors is an integer number (318080).

Almost surely, 210001220 is an apocalyptic number.

10001220 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 10001220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15267840).

10001220 is an abundant number, since it is smaller than the sum of its proper divisors (20534460).

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

10001220 is a wasteful number, since it uses less digits than its factorization.

10001220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 10001220 is about 3162.4705532226. The cubic root of 10001220 is about 215.4522300147.

Adding to 10001220 its reverse (2210001), we get a palindrome (12211221).

The spelling of 10001220 in words is "ten million, one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 31 38 57 60 62 76 93 95 114 124 155 186 190 228 283 285 310 372 380 465 566 570 589 620 849 930 1132 1140 1178 1415 1698 1767 1860 2356 2830 2945 3396 3534 4245 5377 5660 5890 7068 8490 8773 8835 10754 11780 16131 16980 17546 17670 21508 26319 26885 32262 35092 35340 43865 52638 53770 64524 80655 87730 105276 107540 131595 161310 166687 175460 263190 322620 333374 500061 526380 666748 833435 1000122 1666870 2000244 2500305 3333740 5000610 10001220