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113354120 = 23511232487
BaseRepresentation
bin1101100000110…
…10010110001000
321220021222121202
412300122112020
5213004312440
615125323332
72544331325
oct660322610
9256258552
10113354120
1158a926a0
1231b66548
131a63ac59
14110a9b4c
159e41615
hex6c1a588

113354120 has 96 divisors (see below), whose sum is σ = 291453120. Its totient is φ = 39346560.

The previous prime is 113354119. The next prime is 113354123. The reversal of 113354120 is 21453311.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 113354092 and 113354101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113354123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 232517 + ... + 233003.

It is an arithmetic number, because the mean of its divisors is an integer number (3035970).

Almost surely, 2113354120 is an apocalyptic number.

113354120 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 113354120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145726560).

113354120 is an abundant number, since it is smaller than the sum of its proper divisors (178099000).

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

113354120 is a wasteful number, since it uses less digits than its factorization.

113354120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 113354120 is about 10646.7891873560. The cubic root of 113354120 is about 483.9633080123.

The spelling of 113354120 in words is "one hundred thirteen million, three hundred fifty-four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 88 92 110 115 184 220 230 253 440 460 487 506 529 920 974 1012 1058 1265 1948 2024 2116 2435 2530 2645 3896 4232 4870 5060 5290 5357 5819 9740 10120 10580 10714 11201 11638 19480 21160 21428 22402 23276 26785 29095 42856 44804 46552 53570 56005 58190 89608 107140 112010 116380 123211 214280 224020 232760 246422 257623 448040 492844 515246 616055 985688 1030492 1232110 1288115 2060984 2464220 2576230 2833853 4928440 5152460 5667706 10304920 11335412 14169265 22670824 28338530 56677060 113354120