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10120220 = 22511157293
BaseRepresentation
bin100110100110…
…110000011100
3201001011022222
4212212300130
510042321340
61000524512
7152010005
oct46466034
921034288
1010120220
115792520
123480738
1321344c6
1414b61ac
15d4d8b5
hex9a6c1c

10120220 has 48 divisors (see below), whose sum is σ = 23411808. Its totient is φ = 3644160.

The previous prime is 10120213. The next prime is 10120237. The reversal of 10120220 is 2202101.

It is a junction number, because it is equal to n+sod(n) for n = 10120198 and 10120207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34394 + ... + 34686.

It is an arithmetic number, because the mean of its divisors is an integer number (487746).

Almost surely, 210120220 is an apocalyptic number.

10120220 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 10120220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11705904).

10120220 is an abundant number, since it is smaller than the sum of its proper divisors (13291588).

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

10120220 is a wasteful number, since it uses less digits than its factorization.

10120220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 468 counting only the distinct ones).

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

The square root of 10120220 is about 3181.2293221332. The cubic root of 10120220 is about 216.3033859752.

Adding to 10120220 its reverse (2202101), we get a palindrome (12322321).

The spelling of 10120220 in words is "ten million, one hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 157 220 293 314 586 628 785 1172 1465 1570 1727 2930 3140 3223 3454 5860 6446 6908 8635 12892 16115 17270 32230 34540 46001 64460 92002 184004 230005 460010 506011 920020 1012022 2024044 2530055 5060110 10120220