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116142080 = 212553107
BaseRepresentation
bin1101110110000…
…11000000000000
322002112121222112
412323003000000
5214213021310
615305154452
72610122435
oct673030000
9262477875
10116142080
115a61729a
1232a8ba28
131b0a5c32
14115d3b8c
15a2e2705
hex6ec3000

116142080 has 104 divisors (see below), whose sum is σ = 286619472. Its totient is φ = 45154304.

The previous prime is 116142067. The next prime is 116142083. The reversal of 116142080 is 80241611.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (116142083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1085387 + ... + 1085493.

Almost surely, 2116142080 is an apocalyptic number.

116142080 is a gapful number since it is divisible by the number (10) 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 116142080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143309736).

116142080 is an abundant number, since it is smaller than the sum of its proper divisors (170477392).

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

116142080 is an equidigital number, since it uses as much as digits as its factorization.

116142080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 116142080 is about 10776.9234942074. The cubic root of 116142080 is about 487.8989309638.

Adding to 116142080 its reverse (80241611), we get a palindrome (196383691).

The spelling of 116142080 in words is "one hundred sixteen million, one hundred forty-two thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 64 80 106 107 128 160 212 214 256 265 320 424 428 512 530 535 640 848 856 1024 1060 1070 1280 1696 1712 2048 2120 2140 2560 3392 3424 4096 4240 4280 5120 5671 6784 6848 8480 8560 10240 11342 13568 13696 16960 17120 20480 22684 27136 27392 28355 33920 34240 45368 54272 54784 56710 67840 68480 90736 108544 109568 113420 135680 136960 181472 217088 219136 226840 271360 273920 362944 438272 453680 542720 547840 725888 907360 1085440 1095680 1451776 1814720 2191360 2903552 3629440 5807104 7258880 11614208 14517760 23228416 29035520 58071040 116142080