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1161012620 = 2251731591867
BaseRepresentation
bin100010100110011…
…1010010110001100
32222220122112220102
41011030322112030
54334204400440
6311112310232
740525305305
oct10514722614
92886575812
101161012620
115463a7a69
122849a2378
131566c3821
14b02a17ac
156bdd8b15
hex4533a58c

1161012620 has 96 divisors (see below), whose sum is σ = 2711439360. Its totient is φ = 415595520.

The previous prime is 1161012617. The next prime is 1161012673. The reversal of 1161012620 is 262101611.

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 = 1161012592 and 1161012601.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 620927 + ... + 622793.

It is an arithmetic number, because the mean of its divisors is an integer number (28244160).

Almost surely, 21161012620 is an apocalyptic number.

1161012620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1161012620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1355719680).

1161012620 is an abundant number, since it is smaller than the sum of its proper divisors (1550426740).

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

1161012620 is a wasteful number, since it uses less digits than its factorization.

1161012620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1983 (or 1981 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 1161012620 is about 34073.6352624724. The cubic root of 1161012620 is about 1051.0232262748.

The spelling of 1161012620 in words is "one billion, one hundred sixty-one million, twelve thousand, six hundred twenty".

Divisors: 1 2 4 5 10 17 20 31 34 59 62 68 85 118 124 155 170 236 295 310 340 527 590 620 1003 1054 1180 1829 1867 2006 2108 2635 3658 3734 4012 5015 5270 7316 7468 9145 9335 10030 10540 18290 18670 20060 31093 31739 36580 37340 57877 62186 63478 110153 115754 124372 126956 155465 158695 220306 231508 289385 310930 317390 440612 550765 578770 621860 634780 983909 1101530 1157540 1872601 1967818 2203060 3414743 3745202 3935636 4919545 6829486 7490404 9363005 9839090 13658972 17073715 18726010 19678180 34147430 37452020 58050631 68294860 116101262 232202524 290253155 580506310 1161012620