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113344080 = 24353471361
BaseRepresentation
bin1101100000101…
…11111001010000
321220021110211220
412300113321100
5213004002310
615125205040
72544260133
oct660277120
9256243756
10113344080
1158a860a3
1231b60780
131a636505
14110a621a
159e3d670
hex6c17e50

113344080 has 80 divisors (see below), whose sum is σ = 352638144. Its totient is φ = 30115840.

The previous prime is 113344079. The next prime is 113344103. The reversal of 113344080 is 80443311.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 113344080.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 82600 + ... + 83960.

Almost surely, 2113344080 is an apocalyptic number.

113344080 is a gapful number since it is divisible by the number (10) 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 113344080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176319072).

113344080 is an abundant number, since it is smaller than the sum of its proper divisors (239294064).

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

113344080 is a wasteful number, since it uses less digits than its factorization.

113344080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1724 (or 1718 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 113344080 is about 10646.3176732615. The cubic root of 113344080 is about 483.9490190594.

Adding to 113344080 its reverse (80443311), we get a palindrome (193787391).

The spelling of 113344080 in words is "one hundred thirteen million, three hundred forty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 347 694 1041 1361 1388 1735 2082 2722 2776 3470 4083 4164 5205 5444 5552 6805 6940 8166 8328 10410 10888 13610 13880 16332 16656 20415 20820 21776 27220 27760 32664 40830 41640 54440 65328 81660 83280 108880 163320 326640 472267 944534 1416801 1889068 2361335 2833602 3778136 4722670 5667204 7084005 7556272 9445340 11334408 14168010 18890680 22668816 28336020 37781360 56672040 113344080