Search a number
-
+
112460096 = 267347109
BaseRepresentation
bin1101011010000…
…00000101000000
321211121120020202
412231000011000
5212242210341
615054224332
72533616000
oct655000500
9254546222
10112460096
1158531a31
12317b50a8
131a3b7048
1410d16000
159d1679b
hex6b40140

112460096 has 112 divisors (see below), whose sum is σ = 268224000. Its totient is φ = 46738944.

The previous prime is 112460081. The next prime is 112460137. The reversal of 112460096 is 690064211.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1031690 + ... + 1031798.

Almost surely, 2112460096 is an apocalyptic number.

112460096 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 112460096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134112000).

112460096 is an abundant number, since it is smaller than the sum of its proper divisors (155763904).

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

112460096 is an equidigital number, since it uses as much as digits as its factorization.

112460096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 112460096 is about 10604.7204583619. The cubic root of 112460096 is about 482.6876086813.

The spelling of 112460096 in words is "one hundred twelve million, four hundred sixty thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 47 49 56 64 94 98 109 112 188 196 218 224 329 343 376 392 436 448 658 686 752 763 784 872 1316 1372 1504 1526 1568 1744 2303 2632 2744 3008 3052 3136 3488 4606 5123 5264 5341 5488 6104 6976 9212 10246 10528 10682 10976 12208 16121 18424 20492 21056 21364 21952 24416 32242 35861 36848 37387 40984 42728 48832 64484 71722 73696 74774 81968 85456 128968 143444 147392 149548 163936 170912 251027 257936 286888 299096 327872 341824 502054 515872 573776 598192 1004108 1031744 1147552 1196384 1757189 2008216 2295104 2392768 3514378 4016432 7028756 8032864 14057512 16065728 28115024 56230048 112460096