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1076680000 = 2654112447
BaseRepresentation
bin100000000101100…
…1101010101000000
32210000222000022001
41000023031111000
54201112230000
6254500553344
735452425514
oct10013152500
92700860261
101076680000
11502837690
122606b2854
131420a7376
14a2dcc144
15647cb46a
hex402cd540

1076680000 has 140 divisors (see below), whose sum is σ = 2913717312. Its totient is φ = 391360000.

The previous prime is 1076679991. The next prime is 1076680043. The reversal of 1076680000 is 866701.

It is a congruent number.

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, 438777 + ... + 441223.

Almost surely, 21076680000 is an apocalyptic number.

1076680000 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 1076680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1456858656).

1076680000 is an abundant number, since it is smaller than the sum of its proper divisors (1837037312).

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

1076680000 is an equidigital number, since it uses as much as digits as its factorization.

1076680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2490 (or 2465 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 1076680000 is about 32812.8023795591. The cubic root of 1076680000 is about 1024.9331703404.

The spelling of 1076680000 in words is "one billion, seventy-six million, six hundred eighty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 160 176 200 220 250 275 320 352 400 440 500 550 625 704 800 880 1000 1100 1250 1375 1600 1760 2000 2200 2447 2500 2750 3520 4000 4400 4894 5000 5500 6875 8000 8800 9788 10000 11000 12235 13750 17600 19576 20000 22000 24470 26917 27500 39152 40000 44000 48940 53834 55000 61175 78304 88000 97880 107668 110000 122350 134585 156608 195760 215336 220000 244700 269170 305875 391520 430672 440000 489400 538340 611750 672925 783040 861344 978800 1076680 1223500 1345850 1529375 1722688 1957600 2153360 2447000 2691700 3058750 3364625 3915200 4306720 4894000 5383400 6117500 6729250 8613440 9788000 10766800 12235000 13458500 16823125 19576000 21533600 24470000 26917000 33646250 43067200 48940000 53834000 67292500 97880000 107668000 134585000 215336000 269170000 538340000 1076680000