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61091120 = 2451814219
BaseRepresentation
bin1110100100001…
…0110100110000
311020221202021002
43221002310300
5111114403440
610021221132
71341160136
oct351026460
9136852232
1061091120
1131536732
12185617a8
13c86c7bc
148183756
15556b115
hex3a42d30

61091120 has 40 divisors (see below), whose sum is σ = 142855440. Its totient is φ = 24295680.

The previous prime is 61091101. The next prime is 61091123. The reversal of 61091120 is 2119016.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 61091092 and 61091101.

It is not an unprimeable number, because it can be changed into a prime (61091123) 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 7 ways as a sum of consecutive naturals, for example, 12371 + ... + 16589.

It is an arithmetic number, because the mean of its divisors is an integer number (3571386).

Almost surely, 261091120 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 61091120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71427720).

61091120 is an abundant number, since it is smaller than the sum of its proper divisors (81764320).

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

61091120 is a wasteful number, since it uses less digits than its factorization.

61091120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4413 (or 4407 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 20.

The square root of 61091120 is about 7816.0808593566. The cubic root of 61091120 is about 393.8456282389.

The spelling of 61091120 in words is "sixty-one million, ninety-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 181 362 724 905 1448 1810 2896 3620 4219 7240 8438 14480 16876 21095 33752 42190 67504 84380 168760 337520 763639 1527278 3054556 3818195 6109112 7636390 12218224 15272780 30545560 61091120