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61165132 = 2273109409
BaseRepresentation
bin1110100101010…
…0111001001100
311021002111210021
43221110321030
5111124241012
610022551524
71341616000
oct351247114
9137074707
1061165132
11315872a6
12185985a4
13c8973b2
1481a2700
155583007
hex3a54e4c

61165132 has 48 divisors (see below), whose sum is σ = 126280000. Its totient is φ = 25909632.

The previous prime is 61165129. The next prime is 61165141. The reversal of 61165132 is 23156116.

61165132 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 = 61165097 and 61165106.

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, 149344 + ... + 149752.

Almost surely, 261165132 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 61165132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63140000).

61165132 is an abundant number, since it is smaller than the sum of its proper divisors (65114868).

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

61165132 is a wasteful number, since it uses less digits than its factorization.

61165132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 527 counting only the distinct ones).

The product of its digits is 1080, while the sum is 25.

The square root of 61165132 is about 7820.8140241282. The cubic root of 61165132 is about 394.0046122782.

The spelling of 61165132 in words is "sixty-one million, one hundred sixty-five thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 49 98 109 196 218 343 409 436 686 763 818 1372 1526 1636 2863 3052 5341 5726 10682 11452 20041 21364 37387 40082 44581 74774 80164 89162 140287 149548 178324 280574 312067 561148 624134 1248268 2184469 4368938 8737876 15291283 30582566 61165132