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61502220 = 22335138761
BaseRepresentation
bin1110101010011…
…1001100001100
311021201122012000
43222213030030
5111221032340
610034112300
71344521523
oct352471414
9137648160
1061502220
113179758a
121871b690
13c984960
14824d4ba
1555ecd30
hex3aa730c

61502220 has 96 divisors (see below), whose sum is σ = 206082240. Its totient is φ = 15137280.

The previous prime is 61502201. The next prime is 61502239. The reversal of 61502220 is 2220516.

61502220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (61502201) and next prime (61502239).

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 = 61502193 and 61502202.

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 31 ways as a sum of consecutive naturals, for example, 2640 + ... + 11400.

It is an arithmetic number, because the mean of its divisors is an integer number (2146690).

Almost surely, 261502220 is an apocalyptic number.

61502220 is a gapful number since it is divisible by the number (60) 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 61502220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103041120).

61502220 is an abundant number, since it is smaller than the sum of its proper divisors (144580020).

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

61502220 is a wasteful number, since it uses less digits than its factorization.

61502220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8792 (or 8784 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 61502220 is about 7842.3351114321. The cubic root of 61502220 is about 394.7270880958.

Adding to 61502220 its reverse (2220516), we get a palindrome (63722736).

The spelling of 61502220 in words is "sixty-one million, five hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 180 195 234 260 270 351 390 468 540 585 702 780 1170 1404 1755 2340 3510 7020 8761 17522 26283 35044 43805 52566 78849 87610 105132 113893 131415 157698 175220 227786 236547 262830 315396 341679 394245 455572 473094 525660 569465 683358 788490 946188 1025037 1138930 1182735 1366716 1576980 1708395 2050074 2277860 2365470 3075111 3416790 4100148 4730940 5125185 6150222 6833580 10250370 12300444 15375555 20500740 30751110 61502220