Search a number
-
+
116778996 = 2235317379
BaseRepresentation
bin1101111010111…
…10011111110100
322010201222200000
412331132133310
5214343411441
615330551300
72615414355
oct675363764
9263658600
10116778996
115aa11874
1233138530
131b269ac9
141171bd2c
15a3bb2b6
hex6f5e7f4

116778996 has 72 divisors (see below), whose sum is σ = 307900320. Its totient is φ = 38701152.

The previous prime is 116778989. The next prime is 116779007. The reversal of 116778996 is 699877611.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 307935 + ... + 308313.

Almost surely, 2116778996 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 116778996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153950160).

116778996 is an abundant number, since it is smaller than the sum of its proper divisors (191121324).

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

116778996 is a wasteful number, since it uses less digits than its factorization.

116778996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 701 counting only the distinct ones).

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

The square root of 116778996 is about 10806.4330840477. The cubic root of 116778996 is about 488.7891748044.

The spelling of 116778996 in words is "one hundred sixteen million, seven hundred seventy-eight thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 317 324 379 486 634 758 951 972 1137 1268 1516 1902 2274 2853 3411 3804 4548 5706 6822 8559 10233 11412 13644 17118 20466 25677 30699 34236 40932 51354 61398 77031 92097 102708 120143 122796 154062 184194 240286 308124 360429 368388 480572 720858 1081287 1441716 2162574 3243861 4325148 6487722 9731583 12975444 19463166 29194749 38926332 58389498 116778996