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113301504 = 21134683
BaseRepresentation
bin1101100000011…
…01100000000000
321220012022110000
412300031200000
5213001122004
615124240000
72544022041
oct660154000
9256168400
10113301504
1158a57108
1231b40000
131a620014
14110948c8
159e30c39
hex6c0d800

113301504 has 120 divisors (see below), whose sum is σ = 338918580. Its totient is φ = 37711872.

The previous prime is 113301499. The next prime is 113301523. The reversal of 113301504 is 405103311.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 165547 + ... + 166229.

Almost surely, 2113301504 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 113301504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169459290).

113301504 is an abundant number, since it is smaller than the sum of its proper divisors (225617076).

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

113301504 is an frugal number, since it uses more digits than its factorization.

113301504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 113301504 is about 10644.3179208440. The cubic root of 113301504 is about 483.8884154121. Note that the first 3 decimals are identical.

Adding to 113301504 its reverse (405103311), we get a palindrome (518404815).

The spelling of 113301504 in words is "one hundred thirteen million, three hundred one thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 683 768 864 1024 1152 1296 1366 1536 1728 2048 2049 2304 2592 2732 3072 3456 4098 4608 5184 5464 6144 6147 6912 8196 9216 10368 10928 12294 13824 16392 18432 18441 20736 21856 24588 27648 32784 36882 41472 43712 49176 55296 55323 65568 73764 82944 87424 98352 110646 131136 147528 165888 174848 196704 221292 262272 295056 349696 393408 442584 524544 590112 699392 786816 885168 1049088 1180224 1398784 1573632 1770336 2098176 2360448 3147264 3540672 4196352 4720896 6294528 7081344 9441792 12589056 14162688 18883584 28325376 37767168 56650752 113301504