Search a number
-
+
112994304 = 211353347
BaseRepresentation
bin1101011110000…
…10100000000000
321212121201001020
412233002200000
5212411304204
615113505440
72541302313
oct657024000
9255551036
10112994304
1158867325
1231a12280
131a543247
141101497a
159dbebd9
hex6bc2800

112994304 has 96 divisors (see below), whose sum is σ = 307812960. Its totient is φ = 36847616.

The previous prime is 112994281. The next prime is 112994309. The reversal of 112994304 is 403499211.

112994304 is nontrivially palindromic in base 15.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112994309) 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, 325459 + ... + 325805.

It is an arithmetic number, because the mean of its divisors is an integer number (3206385).

Almost surely, 2112994304 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 112994304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153906480).

112994304 is an abundant number, since it is smaller than the sum of its proper divisors (194818656).

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

112994304 is an equidigital number, since it uses as much as digits as its factorization.

112994304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 112994304 is about 10629.8778920550. The cubic root of 112994304 is about 483.4506893257.

The spelling of 112994304 in words is "one hundred twelve million, nine hundred ninety-four thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 128 159 192 212 256 318 347 384 424 512 636 694 768 848 1024 1041 1272 1388 1536 1696 2048 2082 2544 2776 3072 3392 4164 5088 5552 6144 6784 8328 10176 11104 13568 16656 18391 20352 22208 27136 33312 36782 40704 44416 54272 55173 66624 73564 81408 88832 108544 110346 133248 147128 162816 177664 220692 266496 294256 325632 355328 441384 532992 588512 710656 882768 1065984 1177024 1765536 2131968 2354048 3531072 4708096 7062144 9416192 14124288 18832384 28248576 37664768 56497152 112994304