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113730048 = 293319433
BaseRepresentation
bin1101100011101…
…10001000000000
321221000002022000
412301312020000
5213103330143
615141344000
72550455325
oct661661000
9257002260
10113730048
115921a083
1232108000
131a7400b3
1411166b4c
159eb7bd3
hex6c76200

113730048 has 160 divisors (see below), whose sum is σ = 355185600. Its totient is φ = 35831808.

The previous prime is 113730037. The next prime is 113730049. The reversal of 113730048 is 840037311.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (113730049) 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, 262440 + ... + 262872.

It is an arithmetic number, because the mean of its divisors is an integer number (2219910).

Almost surely, 2113730048 is an apocalyptic number.

113730048 is a gapful number since it is divisible by the number (18) 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 113730048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177592800).

113730048 is an abundant number, since it is smaller than the sum of its proper divisors (241455552).

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

113730048 is an equidigital number, since it uses as much as digits as its factorization.

113730048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 113730048 is about 10664.4290986438. The cubic root of 113730048 is about 484.4977235369.

Adding to 113730048 its reverse (840037311), we get a palindrome (953767359).

The spelling of 113730048 in words is "one hundred thirteen million, seven hundred thirty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 64 72 76 96 108 114 128 144 152 171 192 216 228 256 288 304 342 384 432 433 456 512 513 576 608 684 768 864 866 912 1026 1152 1216 1299 1368 1536 1728 1732 1824 2052 2304 2432 2598 2736 3456 3464 3648 3897 4104 4608 4864 5196 5472 6912 6928 7296 7794 8208 8227 9728 10392 10944 11691 13824 13856 14592 15588 16416 16454 20784 21888 23382 24681 27712 29184 31176 32832 32908 41568 43776 46764 49362 55424 62352 65664 65816 74043 83136 87552 93528 98724 110848 124704 131328 131632 148086 166272 187056 197448 221696 222129 249408 262656 263264 296172 332544 374112 394896 444258 498816 526528 592344 665088 748224 789792 888516 997632 1053056 1184688 1496448 1579584 1777032 1995264 2106112 2369376 2992896 3159168 3554064 4212224 4738752 5985792 6318336 7108128 9477504 12636672 14216256 18955008 28432512 37910016 56865024 113730048