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116111232 = 27353733
BaseRepresentation
bin1101110101110…
…11011110000000
322002111001200000
412322323132000
5214211024412
615304400000
72606633466
oct672733600
9262431600
10116111232
115a5a60a6
1232a76000
131b094b93
14115c6836
15a2d84dc
hex6ebb780

116111232 has 96 divisors (see below), whose sum is σ = 346589880. Its totient is φ = 38693376.

The previous prime is 116111227. The next prime is 116111239. The reversal of 116111232 is 232111611.

116111232 is a `hidden beast` number, since 11 + 611 + 12 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116111239) 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, 29238 + ... + 32970.

Almost surely, 2116111232 is an apocalyptic number.

116111232 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 116111232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173294940).

116111232 is an abundant number, since it is smaller than the sum of its proper divisors (230478648).

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

116111232 is an frugal number, since it uses more digits than its factorization.

116111232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3762 (or 3738 counting only the distinct ones).

The product of its digits is 72, while the sum is 18.

The square root of 116111232 is about 10775.4921929349. The cubic root of 116111232 is about 487.8557308910.

Adding to 116111232 its reverse (232111611), we get a palindrome (348222843).

The spelling of 116111232 in words is "one hundred sixteen million, one hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 288 324 384 432 486 576 648 864 972 1152 1296 1728 1944 2592 3456 3733 3888 5184 7466 7776 10368 11199 14932 15552 22398 29864 31104 33597 44796 59728 67194 89592 100791 119456 134388 179184 201582 238912 268776 302373 358368 403164 477824 537552 604746 716736 806328 907119 1075104 1209492 1433472 1612656 1814238 2150208 2418984 3225312 3628476 4300416 4837968 6450624 7256952 9675936 12901248 14513904 19351872 29027808 38703744 58055616 116111232