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116812872 = 233211831777
BaseRepresentation
bin1101111011001…
…10110001001000
322010210201010200
412331212301020
5214401002442
615331412200
72615615211
oct675466110
9263721120
10116812872
115aa35270
1233154060
131b27c357
141172a408
15a3c634c
hex6f66c48

116812872 has 96 divisors (see below), whose sum is σ = 349483680. Its totient is φ = 34951680.

The previous prime is 116812853. The next prime is 116812873. The reversal of 116812872 is 278218611.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (116812873) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64848 + ... + 66624.

It is an arithmetic number, because the mean of its divisors is an integer number (3640455).

Almost surely, 2116812872 is an apocalyptic number.

116812872 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 116812872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174741840).

116812872 is an abundant number, since it is smaller than the sum of its proper divisors (232670808).

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

116812872 is a wasteful number, since it uses less digits than its factorization.

116812872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1883 (or 1876 counting only the distinct ones).

The product of its digits is 10752, while the sum is 36.

The square root of 116812872 is about 10808.0003700962. Note that the first 3 decimals coincide. The cubic root of 116812872 is about 488.8364339344.

The spelling of 116812872 in words is "one hundred sixteen million, eight hundred twelve thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 83 88 99 132 166 198 249 264 332 396 498 664 747 792 913 996 1494 1777 1826 1992 2739 2988 3554 3652 5331 5478 5976 7108 7304 8217 10662 10956 14216 15993 16434 19547 21324 21912 31986 32868 39094 42648 58641 63972 65736 78188 117282 127944 147491 156376 175923 234564 294982 351846 442473 469128 589964 703692 884946 1179928 1327419 1407384 1622401 1769892 2654838 3244802 3539784 4867203 5309676 6489604 9734406 10619352 12979208 14601609 19468812 29203218 38937624 58406436 116812872