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116174436 = 22371983877
BaseRepresentation
bin1101110110010…
…10111001100100
322002121021100220
412323022321210
5214220040221
615310004340
72610315660
oct673127144
9262537326
10116174436
115a639634
1232aa66b0
131b0b7891
14116018a0
15a2ec0c6
hex6ecae64

116174436 has 96 divisors (see below), whose sum is σ = 330408960. Its totient is φ = 31031424.

The previous prime is 116174431. The next prime is 116174441. The reversal of 116174436 is 634471611.

It is an interprime number because it is at equal distance from previous prime (116174431) and next prime (116174441).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 116174397 and 116174406.

It is not an unprimeable number, because it can be changed into a prime (116174431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132030 + ... + 132906.

It is an arithmetic number, because the mean of its divisors is an integer number (3441760).

Almost surely, 2116174436 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 116174436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165204480).

116174436 is an abundant number, since it is smaller than the sum of its proper divisors (214234524).

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

116174436 is a wasteful number, since it uses less digits than its factorization.

116174436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 993 (or 991 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 116174436 is about 10778.4245602036. The cubic root of 116174436 is about 487.9442346472.

The spelling of 116174436 in words is "one hundred sixteen million, one hundred seventy-four thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 83 84 114 133 166 228 249 266 332 399 498 532 581 798 877 996 1162 1577 1596 1743 1754 2324 2631 3154 3486 3508 4731 5262 6139 6308 6972 9462 10524 11039 12278 16663 18417 18924 22078 24556 33117 33326 36834 44156 49989 66234 66652 72791 73668 99978 116641 132468 145582 199956 218373 233282 291164 349923 436746 466564 509537 699846 873492 1019074 1383029 1399692 1528611 2038148 2766058 3057222 4149087 5532116 6114444 8298174 9681203 16596348 19362406 29043609 38724812 58087218 116174436