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10020220 = 2257193767
BaseRepresentation
bin100110001110…
…010101111100
3200212002011021
4212032111330
510031121340
6554433524
7151112320
oct46162574
920762137
1010020220
115724381
1234328a4
1320cab32
14148b980
15d2de4a
hex98e57c

10020220 has 48 divisors (see below), whose sum is σ = 25320960. Its totient is φ = 3253824.

The previous prime is 10020193. The next prime is 10020253. The reversal of 10020220 is 2202001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 777 + ... + 4543.

It is an arithmetic number, because the mean of its divisors is an integer number (527520).

Almost surely, 210020220 is an apocalyptic number.

10020220 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 10020220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12660480).

10020220 is an abundant number, since it is smaller than the sum of its proper divisors (15300740).

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

10020220 is a wasteful number, since it uses less digits than its factorization.

10020220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3802 (or 3800 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 10020220 is about 3165.4731083994. The cubic root of 10020220 is about 215.5885801403.

Adding to 10020220 its reverse (2202001), we get a palindrome (12222221).

The spelling of 10020220 in words is "ten million, twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 380 532 665 1330 2660 3767 7534 15068 18835 26369 37670 52738 71573 75340 105476 131845 143146 263690 286292 357865 501011 527380 715730 1002022 1431460 2004044 2505055 5010110 10020220