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10535220 = 22325107547
BaseRepresentation
bin101000001100…
…000100110100
3201211020121100
4220030010310
510144111340
61013450100
7155355633
oct50140464
921736540
1010535220
115a462a3
123640930
13224b377
14158351a
15dd1830
hexa0c134

10535220 has 72 divisors (see below), whose sum is σ = 32314464. Its totient is φ = 2778048.

The previous prime is 10535183. The next prime is 10535251. The reversal of 10535220 is 2253501.

It is a happy number.

It is a super-2 number, since 2×105352202 = 221981720896800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10535193 and 10535202.

It is a congruent number.

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, 18987 + ... + 19533.

It is an arithmetic number, because the mean of its divisors is an integer number (448812).

Almost surely, 210535220 is an apocalyptic number.

10535220 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 10535220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16157232).

10535220 is an abundant number, since it is smaller than the sum of its proper divisors (21779244).

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

10535220 is a wasteful number, since it uses less digits than its factorization.

10535220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 10535220 is about 3245.8003635467. The cubic root of 10535220 is about 219.2205197282.

Adding to 10535220 its reverse (2253501), we get a palindrome (12788721).

The spelling of 10535220 in words is "ten million, five hundred thirty-five thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 107 180 214 321 428 535 547 642 963 1070 1094 1284 1605 1641 1926 2140 2188 2735 3210 3282 3852 4815 4923 5470 6420 6564 8205 9630 9846 10940 16410 19260 19692 24615 32820 49230 58529 98460 117058 175587 234116 292645 351174 526761 585290 702348 877935 1053522 1170580 1755870 2107044 2633805 3511740 5267610 10535220