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1076779968 = 26311246349
BaseRepresentation
bin100000000101110…
…0101101111000000
32210001011002102120
41000023211233000
54201123424333
6254503044240
735453323125
oct10013455700
92701132376
101076779968
115028a5800
12260740680
13142110a14
14a301674c
15647eadb3
hex402e5bc0

1076779968 has 84 divisors (see below), whose sum is σ = 3131591400. Its totient is φ = 326289920.

The previous prime is 1076779961. The next prime is 1076779987. The reversal of 1076779968 is 8699776701.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1076779961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58 + ... + 46406.

It is an arithmetic number, because the mean of its divisors is an integer number (37280850).

Almost surely, 21076779968 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 1076779968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1565795700).

1076779968 is an abundant number, since it is smaller than the sum of its proper divisors (2054811432).

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

1076779968 is a wasteful number, since it uses less digits than its factorization.

1076779968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46386 (or 46365 counting only the distinct ones).

The product of its (nonzero) digits is 8001504, while the sum is 60.

The square root of 1076779968 is about 32814.3256520685. The cubic root of 1076779968 is about 1024.9648904889.

The spelling of 1076779968 in words is "one billion, seventy-six million, seven hundred seventy-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 132 176 192 242 264 352 363 484 528 704 726 968 1056 1452 1936 2112 2904 3872 5808 7744 11616 23232 46349 92698 139047 185396 278094 370792 509839 556188 741584 1019678 1112376 1483168 1529517 2039356 2224752 2966336 3059034 4078712 4449504 5608229 6118068 8157424 8899008 11216458 12236136 16314848 16824687 22432916 24472272 32629696 33649374 44865832 48944544 67298748 89731664 97889088 134597496 179463328 269194992 358926656 538389984 1076779968