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1076071980 = 22351091371201
BaseRepresentation
bin100000000100011…
…1000111000101100
32202222211010020210
41000020320320230
54200433300410
6254435542420
735444314044
oct10010707054
92688733223
101076071980
11502461895
1226045aa10
13141c236a9
14a2cb0724
156470b220
hex40238e2c

1076071980 has 96 divisors (see below), whose sum is σ = 3065388480. Its totient is φ = 282009600.

The previous prime is 1076071979. The next prime is 1076071981. The reversal of 1076071980 is 891706701.

It is an interprime number because it is at equal distance from previous prime (1076071979) and next prime (1076071981).

It is a super-2 number, since 2×10760719802 = 2315861812282240800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1076071981) 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 31 ways as a sum of consecutive naturals, for example, 895380 + ... + 896580.

It is an arithmetic number, because the mean of its divisors is an integer number (31931130).

Almost surely, 21076071980 is an apocalyptic number.

1076071980 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 1076071980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1532694240).

1076071980 is an abundant number, since it is smaller than the sum of its proper divisors (1989316500).

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

1076071980 is a wasteful number, since it uses less digits than its factorization.

1076071980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459 (or 1457 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 39.

The square root of 1076071980 is about 32803.5360898791. The cubic root of 1076071980 is about 1024.7402014577.

The spelling of 1076071980 in words is "one billion, seventy-six million, seventy-one thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 109 137 218 274 327 411 436 545 548 654 685 822 1090 1201 1308 1370 1635 1644 2055 2180 2402 2740 3270 3603 4110 4804 6005 6540 7206 8220 12010 14412 14933 18015 24020 29866 36030 44799 59732 72060 74665 89598 130909 149330 164537 179196 223995 261818 298660 329074 392727 447990 493611 523636 654545 658148 785454 822685 895980 987222 1309090 1570908 1645370 1963635 1974444 2468055 2618180 3290740 3927270 4936110 7854540 9872220 17934533 35869066 53803599 71738132 89672665 107607198 179345330 215214396 269017995 358690660 538035990 1076071980