Search a number
-
+
110812416 = 28311131009
BaseRepresentation
bin1101001101011…
…01110100000000
321201111212001120
412212231310000
5211331444131
614555032240
72513614161
oct646556400
9251455046
10110812416
1157607010
123113b680
1319c5b0a0
1410a07768
159add496
hex69add00

110812416 has 144 divisors (see below), whose sum is σ = 346825920. Its totient is φ = 30965760.

The previous prime is 110812411. The next prime is 110812421. The reversal of 110812416 is 614218011.

It is an interprime number because it is at equal distance from previous prime (110812411) and next prime (110812421).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110812411) 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, 109320 + ... + 110328.

Almost surely, 2110812416 is an apocalyptic number.

110812416 is a gapful number since it is divisible by the number (16) 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 110812416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173412960).

110812416 is an abundant number, since it is smaller than the sum of its proper divisors (236013504).

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

110812416 is a wasteful number, since it uses less digits than its factorization.

110812416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 110812416 is about 10526.7476458781. The cubic root of 110812416 is about 480.3186772687.

The spelling of 110812416 in words is "one hundred ten million, eight hundred twelve thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 104 128 132 143 156 176 192 208 256 264 286 312 352 384 416 429 528 572 624 704 768 832 858 1009 1056 1144 1248 1408 1664 1716 2018 2112 2288 2496 2816 3027 3328 3432 4036 4224 4576 4992 6054 6864 8072 8448 9152 9984 11099 12108 13117 13728 16144 18304 22198 24216 26234 27456 32288 33297 36608 39351 44396 48432 52468 54912 64576 66594 78702 88792 96864 104936 109824 129152 133188 144287 157404 177584 193728 209872 258304 266376 288574 314808 355168 387456 419744 432861 532752 577148 629616 710336 774912 839488 865722 1065504 1154296 1259232 1420672 1678976 1731444 2131008 2308592 2518464 2841344 3357952 3462888 4262016 4617184 5036928 6925776 8524032 9234368 10073856 13851552 18468736 27703104 36937472 55406208 110812416