Search a number
-
+
61126736 = 24114143197
BaseRepresentation
bin1110100100101…
…1100001010000
311021000120010012
43221023201100
5111122023421
610022054052
71341366026
oct351134120
9137016105
1061126736
1131560470
121857a328
13c882a88
148192716
15557695b
hex3a4b850

61126736 has 80 divisors (see below), whose sum is σ = 136116288. Its totient is φ = 26342400.

The previous prime is 61126733. The next prime is 61126757. The reversal of 61126736 is 63762116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61126733) by changing a digit.

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, 310190 + ... + 310386.

Almost surely, 261126736 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 61126736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68058144).

61126736 is an abundant number, since it is smaller than the sum of its proper divisors (74989552).

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

61126736 is a wasteful number, since it uses less digits than its factorization.

61126736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 294 counting only the distinct ones).

The product of its digits is 9072, while the sum is 32.

The square root of 61126736 is about 7818.3589070853. The cubic root of 61126736 is about 393.9221504395.

The spelling of 61126736 in words is "sixty-one million, one hundred twenty-six thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 41 43 44 82 86 88 164 172 176 197 328 344 394 451 473 656 688 788 902 946 1576 1763 1804 1892 2167 3152 3526 3608 3784 4334 7052 7216 7568 8077 8471 8668 14104 16154 16942 17336 19393 28208 32308 33884 34672 38786 64616 67768 77572 88847 93181 129232 135536 155144 177694 186362 310288 347311 355388 372724 694622 710776 745448 1389244 1421552 1490896 2778488 3820421 5556976 7640842 15281684 30563368 61126736