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116523072 = 2632892273
BaseRepresentation
bin1101111001000…
…00000001000000
322010020222121100
412330200001000
5214312214242
615321254400
72613300261
oct674400100
9263228540
10116523072
115a857566
1233034400
131b1aa483
1411692968
15a36a54c
hex6f20040

116523072 has 84 divisors (see below), whose sum is σ = 337893660. Its totient is φ = 38387712.

The previous prime is 116523061. The next prime is 116523091. The reversal of 116523072 is 270325611.

It is a happy number.

116523072 is a `hidden beast` number, since 1 + 1 + 652 + 3 + 0 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 65028096 + 51494976 = 8064^2 + 7176^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50128 + ... + 52400.

Almost surely, 2116523072 is an apocalyptic number.

116523072 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 116523072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168946830).

116523072 is an abundant number, since it is smaller than the sum of its proper divisors (221370588).

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

116523072 is a wasteful number, since it uses less digits than its factorization.

116523072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2380 (or 2367 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 116523072 is about 10794.5853093113. The cubic root of 116523072 is about 488.4318492070.

Adding to 116523072 its reverse (270325611), we get a palindrome (386848683).

The spelling of 116523072 in words is "one hundred sixteen million, five hundred twenty-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 89 96 144 178 192 267 288 356 534 576 712 801 1068 1424 1602 2136 2273 2848 3204 4272 4546 5696 6408 6819 8544 9092 12816 13638 17088 18184 20457 25632 27276 36368 40914 51264 54552 72736 81828 109104 145472 163656 202297 218208 327312 404594 436416 606891 654624 809188 1213782 1309248 1618376 1820673 2427564 3236752 3641346 4855128 6473504 7282692 9710256 12947008 14565384 19420512 29130768 38841024 58261536 116523072