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116692992 = 2113213487
BaseRepresentation
bin1101111010010…
…01100000000000
322010120121200200
412331021200000
5214333133432
615325045200
72614605543
oct675114000
9263517620
10116692992
115a963199
12330b6800
131b239910
14116d885a
15a3a0a7c
hex6f49800

116692992 has 144 divisors (see below), whose sum is σ = 363701520. Its totient is φ = 35831808.

The previous prime is 116692991. The next prime is 116692993. The reversal of 116692992 is 299296611.

It is an interprime number because it is at equal distance from previous prime (116692991) and next prime (116692993).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116692991) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 239373 + ... + 239859.

It is an arithmetic number, because the mean of its divisors is an integer number (2525705).

Almost surely, 2116692992 is an apocalyptic number.

116692992 is a gapful number since it is divisible by the number (12) 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 116692992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181850760).

116692992 is an abundant number, since it is smaller than the sum of its proper divisors (247008528).

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

116692992 is a wasteful number, since it uses less digits than its factorization.

116692992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 505 counting only the distinct ones).

The product of its digits is 104976, while the sum is 45.

The square root of 116692992 is about 10802.4530547464. The cubic root of 116692992 is about 488.6691527979.

The spelling of 116692992 in words is "one hundred sixteen million, six hundred ninety-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 487 512 576 624 768 832 936 974 1024 1152 1248 1461 1536 1664 1872 1948 2048 2304 2496 2922 3072 3328 3744 3896 4383 4608 4992 5844 6144 6331 6656 7488 7792 8766 9216 9984 11688 12662 13312 14976 15584 17532 18432 18993 19968 23376 25324 26624 29952 31168 35064 37986 39936 46752 50648 56979 59904 62336 70128 75972 79872 93504 101296 113958 119808 124672 140256 151944 187008 202592 227916 239616 249344 280512 303888 374016 405184 455832 498688 561024 607776 748032 810368 911664 997376 1122048 1215552 1496064 1620736 1823328 2244096 2431104 2992128 3241472 3646656 4488192 4862208 6482944 7293312 8976384 9724416 12965888 14586624 19448832 29173248 38897664 58346496 116692992