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112538496 = 273725981
BaseRepresentation
bin1101011010100…
…11001110000000
321211202112210110
412231103032000
5212302212441
615100031320
72534363400
oct655231600
9254675713
10112538496
1158585924
1231832540
131a413935
1410d36800
159d2eb16
hex6b53380

112538496 has 96 divisors (see below), whose sum is σ = 347793480. Its totient is φ = 32148480.

The previous prime is 112538483. The next prime is 112538507. The reversal of 112538496 is 694835211.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15826 + ... + 21806.

Almost surely, 2112538496 is an apocalyptic number.

112538496 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 112538496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173896740).

112538496 is an abundant number, since it is smaller than the sum of its proper divisors (235254984).

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

112538496 is an equidigital number, since it uses as much as digits as its factorization.

112538496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6012 (or 5993 counting only the distinct ones).

The product of its digits is 51840, while the sum is 39.

The square root of 112538496 is about 10608.4162814249. The cubic root of 112538496 is about 482.7997489558.

It can be divided in two parts, 1125 and 38496, that added together give a triangular number (39621 = T281).

The spelling of 112538496 in words is "one hundred twelve million, five hundred thirty-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 294 336 384 392 448 588 672 784 896 1176 1344 1568 2352 2688 3136 4704 5981 6272 9408 11962 17943 18816 23924 35886 41867 47848 71772 83734 95696 125601 143544 167468 191392 251202 287088 293069 334936 382784 502404 574176 586138 669872 765568 879207 1004808 1148352 1172276 1339744 1758414 2009616 2296704 2344552 2679488 3516828 4019232 4689104 5358976 7033656 8038464 9378208 14067312 16076928 18756416 28134624 37512832 56269248 112538496