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61126420 = 22519315189
BaseRepresentation
bin1110100100101…
…1011100010100
311021000112200111
43221023130110
5111122021140
610022052404
71341365065
oct351133424
9137015614
1061126420
1131560203
121857a104
13c8828a4
14819256c
1555767ea
hex3a4b714

61126420 has 48 divisors (see below), whose sum is σ = 139507200. Its totient is φ = 22412160.

The previous prime is 61126409. The next prime is 61126427. The reversal of 61126420 is 2462116.

61126420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 61126391 and 61126400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61126427) by changing a digit.

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, 9186 + ... + 14374.

It is an arithmetic number, because the mean of its divisors is an integer number (2906400).

Almost surely, 261126420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61126420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69753600).

61126420 is an abundant number, since it is smaller than the sum of its proper divisors (78380780).

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

61126420 is a wasteful number, since it uses less digits than its factorization.

61126420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5248 (or 5246 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 61126420 is about 7818.3386982146. The cubic root of 61126420 is about 393.9214716334.

Adding to 61126420 its reverse (2462116), we get a palindrome (63588536).

The spelling of 61126420 in words is "sixty-one million, one hundred twenty-six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 31 38 62 76 95 124 155 190 310 380 589 620 1178 2356 2945 5189 5890 10378 11780 20756 25945 51890 98591 103780 160859 197182 321718 394364 492955 643436 804295 985910 1608590 1971820 3056321 3217180 6112642 12225284 15281605 30563210 61126420