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10001420 = 22511132269
BaseRepresentation
bin100110001001…
…110000001100
3200211010100222
4212021300030
510030021140
6554210512
7151003442
oct46116014
920733328
1010001420
115711240
123423a38
1320c2400
141484b92
15d285b5
hex989c0c

10001420 has 72 divisors (see below), whose sum is σ = 24902640. Its totient is φ = 3344640.

The previous prime is 10001419. The next prime is 10001441. The reversal of 10001420 is 2410001.

It is a junction number, because it is equal to n+sod(n) for n = 10001398 and 10001407.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37046 + ... + 37314.

It is an arithmetic number, because the mean of its divisors is an integer number (345870).

Almost surely, 210001420 is an apocalyptic number.

10001420 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 10001420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12451320).

10001420 is an abundant number, since it is smaller than the sum of its proper divisors (14901220).

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

10001420 is a wasteful number, since it uses less digits than its factorization.

10001420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 10001420 is about 3162.5021739123. The cubic root of 10001420 is about 215.4536661781.

Adding to 10001420 its reverse (2410001), we get a palindrome (12411421).

The spelling of 10001420 in words is "ten million, one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 169 220 260 269 286 338 538 572 676 715 845 1076 1345 1430 1690 1859 2690 2860 2959 3380 3497 3718 5380 5918 6994 7436 9295 11836 13988 14795 17485 18590 29590 34970 37180 38467 45461 59180 69940 76934 90922 153868 181844 192335 227305 384670 454610 500071 769340 909220 1000142 2000284 2500355 5000710 10001420