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116979984 = 243311103239
BaseRepresentation
bin1101111100011…
…11100100010000
322011010012101000
412332033210100
5214421324414
615335142000
72620212342
oct676174420
9264105330
10116979984
1160039880
1233214900
131b30a434
1411771292
15a40ab09
hex6f8f910

116979984 has 160 divisors (see below), whose sum is σ = 371404800. Its totient is φ = 34957440.

The previous prime is 116979983. The next prime is 116979991. The reversal of 116979984 is 489979611.

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

It is a self number, because there is not a number n which added to its sum of digits gives 116979984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116979983) 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, 489337 + ... + 489575.

It is an arithmetic number, because the mean of its divisors is an integer number (2321280).

Almost surely, 2116979984 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 116979984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185702400).

116979984 is an abundant number, since it is smaller than the sum of its proper divisors (254424816).

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

116979984 is a wasteful number, since it uses less digits than its factorization.

116979984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 358 counting only the distinct ones).

The product of its digits is 979776, while the sum is 54.

The square root of 116979984 is about 10815.7285468895. The cubic root of 116979984 is about 489.0694319718.

It can be divided in two parts, 116 and 979984, that added together give a square (980100 = 9902).

The spelling of 116979984 in words is "one hundred sixteen million, nine hundred seventy-nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 103 108 132 144 176 198 206 216 239 264 297 309 396 412 432 478 528 594 618 717 792 824 927 956 1133 1188 1236 1434 1584 1648 1854 1912 2151 2266 2376 2472 2629 2781 2868 3399 3708 3824 4302 4532 4752 4944 5258 5562 5736 6453 6798 7416 7887 8604 9064 10197 10516 11124 11472 12906 13596 14832 15774 17208 18128 20394 21032 22248 23661 24617 25812 27192 30591 31548 34416 40788 42064 44496 47322 49234 51624 54384 61182 63096 70983 73851 81576 94644 98468 103248 122364 126192 141966 147702 163152 189288 196936 221553 244728 270787 283932 295404 378576 393872 443106 489456 541574 567864 590808 664659 812361 886212 1083148 1135728 1181616 1329318 1624722 1772424 2166296 2437083 2658636 3249444 3544848 4332592 4874166 5317272 6498888 7311249 9748332 10634544 12997776 14622498 19496664 29244996 38993328 58489992 116979984