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116779968 = 26362503
BaseRepresentation
bin1101111010111…
…10101111000000
322010202001000000
412331132233000
5214343424333
615331000000
72615420244
oct675365700
9263661000
10116779968
115aa12578
1233139000
131b26a396
141171c424
15a3bb713
hex6f5ebc0

116779968 has 98 divisors (see below), whose sum is σ = 347582744. Its totient is φ = 38911104.

The previous prime is 116779951. The next prime is 116779969. The reversal of 116779968 is 869977611.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116779969) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 45405 + ... + 47907.

Almost surely, 2116779968 is an apocalyptic number.

116779968 is a gapful number since it is divisible by the number (18) 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 116779968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173791372).

116779968 is an abundant number, since it is smaller than the sum of its proper divisors (230802776).

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

116779968 is an frugal number, since it uses more digits than its factorization.

116779968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2533 (or 2508 counting only the distinct ones).

The product of its digits is 1143072, while the sum is 54.

The square root of 116779968 is about 10806.4780571655. The cubic root of 116779968 is about 488.7905309323.

The spelling of 116779968 in words is "one hundred sixteen million, seven hundred seventy-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 729 864 972 1296 1458 1728 1944 2503 2592 2916 3888 5006 5184 5832 7509 7776 10012 11664 15018 15552 20024 22527 23328 30036 40048 45054 46656 60072 67581 80096 90108 120144 135162 160192 180216 202743 240288 270324 360432 405486 480576 540648 608229 720864 810972 1081296 1216458 1441728 1621944 1824687 2162592 2432916 3243888 3649374 4325184 4865832 6487776 7298748 9731664 12975552 14597496 19463328 29194992 38926656 58389984 116779968