Search a number
-
+
116871216 = 243711103307
BaseRepresentation
bin1101111011101…
…01000000110000
322010220200011120
412331311000300
5214404334331
615332542240
72616250260
oct675650060
9263820146
10116871216
115aa75090
1233181980
131b29ca87
14117437a0
15a3d8796
hex6f75030

116871216 has 160 divisors (see below), whose sum is σ = 381308928. Its totient is φ = 29963520.

The previous prime is 116871199. The next prime is 116871233. The reversal of 116871216 is 612178611.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (116871199) and next prime (116871233).

It is a super-2 number, since 2×1168712162 = 27317762258637312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 380535 + ... + 380841.

Almost surely, 2116871216 is an apocalyptic number.

116871216 is a gapful number since it is divisible by the number (16) 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 116871216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190654464).

116871216 is an abundant number, since it is smaller than the sum of its proper divisors (264437712).

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

116871216 is a wasteful number, since it uses less digits than its factorization.

116871216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 433 counting only the distinct ones).

The product of its digits is 4032, while the sum is 33.

The square root of 116871216 is about 10810.6991448287. The cubic root of 116871216 is about 488.9178060337.

The spelling of 116871216 in words is "one hundred sixteen million, eight hundred seventy-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 103 112 132 154 168 176 206 231 264 307 308 309 336 412 462 528 614 616 618 721 824 921 924 1133 1228 1232 1236 1442 1648 1842 1848 2149 2163 2266 2456 2472 2884 3377 3399 3684 3696 4298 4326 4532 4912 4944 5768 6447 6754 6798 7368 7931 8596 8652 9064 10131 11536 12894 13508 13596 14736 15862 17192 17304 18128 20262 23639 23793 25788 27016 27192 31621 31724 34384 34608 40524 47278 47586 51576 54032 54384 63242 63448 70917 81048 94556 94863 95172 103152 126484 126896 141834 162096 189112 189726 190344 221347 252968 283668 347831 378224 379452 380688 442694 505936 567336 664041 695662 758904 885388 1043493 1134672 1328082 1391324 1517808 1770776 2086986 2434817 2656164 2782648 3541552 4173972 4869634 5312328 5565296 7304451 8347944 9739268 10624656 14608902 16695888 19478536 29217804 38957072 58435608 116871216