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401061780 = 22355711789
BaseRepresentation
bin10111111001111…
…011011110010100
31000221200001100000
4113321323132110
51310132434110
6103444051300
712636653220
oct2771733624
91027601300
10401061780
11196430719
12b2393b30
1365123982
143b39d780
15253231c0
hex17e7b794

401061780 has 144 divisors (see below), whose sum is σ = 1441964160. Its totient is φ = 91663488.

The previous prime is 401061779. The next prime is 401061797. The reversal of 401061780 is 87160104.

It is a happy number.

401061780 is a `hidden beast` number, since 40 + 1 + 0 + 617 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28126 + ... + 39914.

It is an arithmetic number, because the mean of its divisors is an integer number (10013640).

Almost surely, 2401061780 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 401061780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (720982080).

401061780 is an abundant number, since it is smaller than the sum of its proper divisors (1040902380).

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

401061780 is a wasteful number, since it uses less digits than its factorization.

401061780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11820 (or 11806 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 401061780 is about 20026.5269080787. The cubic root of 401061780 is about 737.4576622253.

The spelling of 401061780 in words is "four hundred one million, sixty-one thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 243 252 270 315 324 378 405 420 486 540 567 630 756 810 945 972 1134 1215 1260 1620 1701 1890 2268 2430 2835 3402 3780 4860 5670 6804 8505 11340 11789 17010 23578 34020 35367 47156 58945 70734 82523 106101 117890 141468 165046 176835 212202 235780 247569 318303 330092 353670 412615 424404 495138 530505 636606 707340 742707 825230 954909 990276 1061010 1237845 1273212 1485414 1591515 1650460 1909818 2122020 2228121 2475690 2864727 2970828 3183030 3713535 3819636 4456242 4774545 4951380 5729454 6366060 6684363 7427070 8912484 9549090 11140605 11458908 13368726 14323635 14854140 19098180 20053089 22281210 26737452 28647270 33421815 40106178 44562420 57294540 66843630 80212356 100265445 133687260 200530890 401061780