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116114432 = 210797167
BaseRepresentation
bin1101110101111…
…00010000000000
322002111020001112
412322330100000
5214211130212
615304422452
72606646020
oct672742000
9262436045
10116114432
115a5a8545
1232a77a28
131b096485
14115c7a80
15a2d9422
hex6ebc400

116114432 has 88 divisors (see below), whose sum is σ = 269614464. Its totient is φ = 48955392.

The previous prime is 116114431. The next prime is 116114441. The reversal of 116114432 is 234411611.

It is a super-2 number, since 2×1161144322 = 26965122637365248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 116114398 and 116114407.

It is not an unprimeable number, because it can be changed into a prime (116114431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 695213 + ... + 695379.

Almost surely, 2116114432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116114432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134807232).

116114432 is an abundant number, since it is smaller than the sum of its proper divisors (153500032).

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

116114432 is an equidigital number, since it uses as much as digits as its factorization.

116114432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 273 counting only the distinct ones).

The product of its digits is 576, while the sum is 23.

The square root of 116114432 is about 10775.6406770085. The cubic root of 116114432 is about 487.8602125820.

The spelling of 116114432 in words is "one hundred sixteen million, one hundred fourteen thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 97 112 128 167 194 224 256 334 388 448 512 668 679 776 896 1024 1169 1336 1358 1552 1792 2338 2672 2716 3104 3584 4676 5344 5432 6208 7168 9352 10688 10864 12416 16199 18704 21376 21728 24832 32398 37408 42752 43456 49664 64796 74816 85504 86912 99328 113393 129592 149632 171008 173824 226786 259184 299264 347648 453572 518368 598528 695296 907144 1036736 1197056 1814288 2073472 3628576 4146944 7257152 8293888 14514304 16587776 29028608 58057216 116114432