Search a number
-
+
116920944 = 24327193601
BaseRepresentation
bin1101111100000…
…01001001110000
322011000012101100
412332001021300
5214412432234
615334004400
72616545250
oct676011160
9264005340
10116920944
115aaa9488
12331a6700
131b2b95ba
1411757960
15a3e8399
hex6f81270

116920944 has 120 divisors (see below), whose sum is σ = 376524512. Its totient is φ = 33177600.

The previous prime is 116920943. The next prime is 116920997. The reversal of 116920944 is 449029611.

It is a happy number.

It is a super-2 number, since 2×1169209442 = 27341014291702272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 116920899 and 116920908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116920943) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 194244 + ... + 194844.

Almost surely, 2116920944 is an apocalyptic number.

116920944 is a gapful number since it is divisible by the number (14) 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 116920944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188262256).

116920944 is an abundant number, since it is smaller than the sum of its proper divisors (259603568).

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

116920944 is a wasteful number, since it uses less digits than its factorization.

116920944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 815 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 116920944 is about 10812.9988439840. The cubic root of 116920944 is about 488.9871400635.

The spelling of 116920944 in words is "one hundred sixteen million, nine hundred twenty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 193 252 336 386 504 579 601 772 1008 1158 1202 1351 1544 1737 1803 2316 2404 2702 3088 3474 3606 4053 4207 4632 4808 5404 5409 6948 7212 8106 8414 9264 9616 10808 10818 12159 12621 13896 14424 16212 16828 21616 21636 24318 25242 27792 28848 32424 33656 37863 43272 48636 50484 64848 67312 75726 86544 97272 100968 115993 151452 194544 201936 231986 302904 347979 463972 605808 695958 811951 927944 1043937 1391916 1623902 1855888 2087874 2435853 2783832 3247804 4175748 4871706 5567664 6495608 7307559 8351496 9743412 12991216 14615118 16702992 19486824 29230236 38973648 58460472 116920944