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116958296 = 23721359389
BaseRepresentation
bin1101111100010…
…10010001011000
322011002002121202
412332022101120
5214420131141
615334453332
72620062200
oct676122130
9264062552
10116958296
1160024554
1233204248
131b3005c0
1411767400
15a40449b
hex6f8a458

116958296 has 96 divisors (see below), whose sum is σ = 280098000. Its totient is φ = 45368064.

The previous prime is 116958293. The next prime is 116958301. The reversal of 116958296 is 692859611.

It is a happy number.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 116958296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116958293) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 300470 + ... + 300858.

Almost surely, 2116958296 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 116958296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140049000).

116958296 is an abundant number, since it is smaller than the sum of its proper divisors (163139704).

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

116958296 is a wasteful number, since it uses less digits than its factorization.

116958296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 470 counting only the distinct ones).

The product of its digits is 233280, while the sum is 47.

The square root of 116958296 is about 10814.7258864938. The cubic root of 116958296 is about 489.0392057369.

It can be divided in two parts, 11695 and 8296, that added together give a palindrome (19991).

The spelling of 116958296 in words is "one hundred sixteen million, nine hundred fifty-eight thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 59 91 98 104 118 182 196 236 364 389 392 413 472 637 728 767 778 826 1274 1534 1556 1652 2548 2723 2891 3068 3112 3304 5057 5096 5369 5446 5782 6136 10114 10738 10892 11564 19061 20228 21476 21784 22951 23128 35399 37583 38122 40456 42952 45902 70798 75166 76244 91804 141596 150332 152488 160657 183608 247793 283192 298363 300664 321314 495586 596726 642628 991172 1124599 1193452 1285256 1982344 2088541 2249198 2386904 4177082 4498396 8354164 8996792 14619787 16708328 29239574 58479148 116958296