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1166020000 = 2554173337
BaseRepresentation
bin100010110000000…
…0000110110100000
310000021001221201221
41011200000312200
54342000120000
6311411504424
740616002135
oct10540006640
93007057657
101166020000
115492080a2
122865b8114
13157757a82
14b0c0658c
156c57761a
hex45800da0

1166020000 has 120 divisors (see below), whose sum is σ = 2893726836. Its totient is φ = 462336000.

The previous prime is 1166019997. The next prime is 1166020027. The reversal of 1166020000 is 206611.

It can be written as a sum of positive squares in 10 ways, for example, as 30869136 + 1135150864 = 5556^2 + 33692^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3459832 + ... + 3460168.

Almost surely, 21166020000 is an apocalyptic number.

1166020000 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 1166020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1446863418).

1166020000 is an abundant number, since it is smaller than the sum of its proper divisors (1727706836).

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

1166020000 is an equidigital number, since it uses as much as digits as its factorization.

1166020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 1166020000 is about 34147.0350103783. The cubic root of 1166020000 is about 1052.5320598897.

Adding to 1166020000 its reverse (206611), we get a palindrome (1166226611).

The spelling of 1166020000 in words is "one billion, one hundred sixty-six million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 173 200 250 337 346 400 500 625 674 692 800 865 1000 1250 1348 1384 1685 1730 2000 2500 2696 2768 3370 3460 4000 4325 5000 5392 5536 6740 6920 8425 8650 10000 10784 13480 13840 16850 17300 20000 21625 26960 27680 33700 34600 42125 43250 53920 58301 67400 69200 84250 86500 108125 116602 134800 138400 168500 173000 210625 216250 233204 269600 291505 337000 346000 421250 432500 466408 583010 674000 692000 842500 865000 932816 1166020 1348000 1457525 1685000 1730000 1865632 2332040 2915050 3370000 3460000 4664080 5830100 6740000 7287625 9328160 11660200 14575250 23320400 29150500 36438125 46640800 58301000 72876250 116602000 145752500 233204000 291505000 583010000 1166020000