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113701248 = 2732229431
BaseRepresentation
bin1101100011011…
…11000110000000
321220221121210100
412301233012000
5213101414443
615141002400
72550305343
oct661570600
9256847710
10113701248
11591aa481
12320b3400
131a72cc5b
141115a45a
159eae3d3
hex6c6f180

113701248 has 96 divisors (see below), whose sum is σ = 329378400. Its totient is φ = 37647360.

The previous prime is 113701207. The next prime is 113701249. The reversal of 113701248 is 842107311.

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 (113701249) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 263593 + ... + 264023.

It is an arithmetic number, because the mean of its divisors is an integer number (3431025).

Almost surely, 2113701248 is an apocalyptic number.

113701248 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 113701248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164689200).

113701248 is an abundant number, since it is smaller than the sum of its proper divisors (215677152).

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

113701248 is a wasteful number, since it uses less digits than its factorization.

113701248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 113701248 is about 10663.0787298979. The cubic root of 113701248 is about 484.4568234328.

Adding to 113701248 its reverse (842107311), we get a palindrome (955808559).

The spelling of 113701248 in words is "one hundred thirteen million, seven hundred one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 229 288 384 431 458 576 687 862 916 1152 1293 1374 1724 1832 2061 2586 2748 3448 3664 3879 4122 5172 5496 6896 7328 7758 8244 10344 10992 13792 14656 15516 16488 20688 21984 27584 29312 31032 32976 41376 43968 55168 62064 65952 82752 87936 98699 124128 131904 165504 197398 248256 263808 296097 394796 496512 592194 789592 888291 1184388 1579184 1776582 2368776 3158368 3553164 4737552 6316736 7106328 9475104 12633472 14212656 18950208 28425312 37900416 56850624 113701248