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116420112 = 24332311717
BaseRepresentation
bin1101111000001…
…10111000010000
322010001202101000
412330012320100
5214300420422
615315142000
72612361144
oct674067020
9263052330
10116420112
115a797176
1232ba4900
131b172653
1411667224
15a349cac
hex6f06e10

116420112 has 80 divisors (see below), whose sum is σ = 348727680. Its totient is φ = 37116288.

The previous prime is 116420077. The next prime is 116420119. The reversal of 116420112 is 211024611.

116420112 is a `hidden beast` number, since 11 + 642 + 0 + 1 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (116420119) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4078 + ... + 15794.

It is an arithmetic number, because the mean of its divisors is an integer number (4359096).

Almost surely, 2116420112 is an apocalyptic number.

116420112 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 116420112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174363840).

116420112 is an abundant number, since it is smaller than the sum of its proper divisors (232307568).

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

116420112 is a wasteful number, since it uses less digits than its factorization.

116420112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11757 (or 11745 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 116420112 is about 10789.8151976760. The cubic root of 116420112 is about 488.2879470555.

Adding to 116420112 its reverse (211024611), we get a palindrome (327444723).

The spelling of 116420112 in words is "one hundred sixteen million, four hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 92 108 138 144 184 207 216 276 368 414 432 552 621 828 1104 1242 1656 2484 3312 4968 9936 11717 23434 35151 46868 70302 93736 105453 140604 187472 210906 269491 281208 316359 421812 538982 562416 632718 808473 843624 1077964 1265436 1616946 1687248 2155928 2425419 2530872 3233892 4311856 4850838 5061744 6467784 7276257 9701676 12935568 14552514 19403352 29105028 38806704 58210056 116420112