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61291136 = 2723109191
BaseRepresentation
bin1110100111001…
…1101010000000
311021022220122002
43221303222000
5111142304021
610025403132
71342652234
oct351635200
9137286562
1061291136
1131662a35
12186394a8
13c90c85a
1481d65c4
1555aa50b
hex3a73a80

61291136 has 64 divisors (see below), whose sum is σ = 129254400. Its totient is φ = 28892160.

The previous prime is 61291133. The next prime is 61291141. The reversal of 61291136 is 63119216.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 61291099 and 61291108.

It is not an unprimeable number, because it can be changed into a prime (61291133) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 320801 + ... + 320991.

It is an arithmetic number, because the mean of its divisors is an integer number (2019600).

Almost surely, 261291136 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 61291136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64627200).

61291136 is an abundant number, since it is smaller than the sum of its proper divisors (67963264).

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

61291136 is a wasteful number, since it uses less digits than its factorization.

61291136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 325 counting only the distinct ones).

The product of its digits is 1944, while the sum is 29.

The square root of 61291136 is about 7828.8655627747. The cubic root of 61291136 is about 394.2749847552.

The spelling of 61291136 in words is "sixty-one million, two hundred ninety-one thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 23 32 46 64 92 109 128 184 191 218 368 382 436 736 764 872 1472 1528 1744 2507 2944 3056 3488 4393 5014 6112 6976 8786 10028 12224 13952 17572 20056 20819 24448 35144 40112 41638 70288 80224 83276 140576 160448 166552 281152 320896 333104 478837 562304 666208 957674 1332416 1915348 2664832 3830696 7661392 15322784 30645568 61291136