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1076946080 = 25574092351
BaseRepresentation
bin100000000110000…
…1110010010100000
32210001110112021212
41000030032102200
54201144233310
6254510405252
735454614330
oct10014162240
92701415255
101076946080
115029a9591
12260800828
1314216b502
14a305b0c0
1564830205
hex4030e4a0

1076946080 has 96 divisors (see below), whose sum is σ = 2916103680. Its totient is φ = 368179200.

The previous prime is 1076946019. The next prime is 1076946083. The reversal of 1076946080 is 806496701.

It is not an unprimeable number, because it can be changed into a prime (1076946083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 456905 + ... + 459255.

It is an arithmetic number, because the mean of its divisors is an integer number (30376080).

Almost surely, 21076946080 is an apocalyptic number.

1076946080 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 1076946080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1458051840).

1076946080 is an abundant number, since it is smaller than the sum of its proper divisors (1839157600).

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

1076946080 is a wasteful number, since it uses less digits than its factorization.

1076946080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2782 (or 2774 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 41.

The square root of 1076946080 is about 32816.8566441090. The cubic root of 1076946080 is about 1025.0175939871.

The spelling of 1076946080 in words is "one billion, seventy-six million, nine hundred forty-six thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 409 560 818 1120 1636 2045 2351 2863 3272 4090 4702 5726 6544 8180 9404 11452 11755 13088 14315 16360 16457 18808 22904 23510 28630 32720 32914 37616 45808 47020 57260 65440 65828 75232 82285 91616 94040 114520 131656 164570 188080 229040 263312 329140 376160 458080 526624 658280 961559 1316560 1923118 2633120 3846236 4807795 6730913 7692472 9615590 13461826 15384944 19231180 26923652 30769888 33654565 38462360 53847304 67309130 76924720 107694608 134618260 153849440 215389216 269236520 538473040 1076946080