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61348540 = 22511431647
BaseRepresentation
bin1110101000000…
…1101010111100
311021102211101011
43222001222330
5111201123130
610030525004
71343311501
oct352015274
9137384334
1061348540
11316a2080
1218666764
13c92ca16
14820d4a8
1555bc52a
hex3a81abc

61348540 has 48 divisors (see below), whose sum is σ = 141087744. Its totient is φ = 22222400.

The previous prime is 61348531. The next prime is 61348571. The reversal of 61348540 is 4584316.

It is a happy number.

61348540 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 94497 + ... + 95143.

It is an arithmetic number, because the mean of its divisors is an integer number (2939328).

Almost surely, 261348540 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 61348540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70543872).

61348540 is an abundant number, since it is smaller than the sum of its proper divisors (79739204).

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

61348540 is a wasteful number, since it uses less digits than its factorization.

61348540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 61348540 is about 7832.5308808839. The cubic root of 61348540 is about 394.3980362573.

The spelling of 61348540 in words is "sixty-one million, three hundred forty-eight thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 431 647 862 1294 1724 2155 2588 3235 4310 4741 6470 7117 8620 9482 12940 14234 18964 23705 28468 35585 47410 71170 94820 142340 278857 557714 1115428 1394285 2788570 3067427 5577140 6134854 12269708 15337135 30674270 61348540