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114103740 = 223519101991
BaseRepresentation
bin1101100110100…
…01010110111100
321221201001220110
412303101112330
5213202304430
615153350020
72553602652
oct663212674
9257631813
10114103740
1159454913
1232268310
131a84120a
1411222dd2
15a03d7b0
hex6cd15bc

114103740 has 96 divisors (see below), whose sum is σ = 339978240. Its totient is φ = 28512000.

The previous prime is 114103681. The next prime is 114103741. The reversal of 114103740 is 47301411.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114103741) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114645 + ... + 115635.

It is an arithmetic number, because the mean of its divisors is an integer number (3541440).

Almost surely, 2114103740 is an apocalyptic number.

114103740 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 114103740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169989120).

114103740 is an abundant number, since it is smaller than the sum of its proper divisors (225874500).

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

114103740 is a wasteful number, since it uses less digits than its factorization.

114103740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 114103740 is about 10681.9352179275. The cubic root of 114103740 is about 485.0277944889.

The spelling of 114103740 in words is "one hundred fourteen million, one hundred three thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 101 114 190 202 228 285 303 380 404 505 570 606 991 1010 1140 1212 1515 1919 1982 2020 2973 3030 3838 3964 4955 5757 5946 6060 7676 9595 9910 11514 11892 14865 18829 19190 19820 23028 28785 29730 37658 38380 56487 57570 59460 75316 94145 100091 112974 115140 188290 200182 225948 282435 300273 376580 400364 500455 564870 600546 1000910 1129740 1201092 1501365 1901729 2001820 3002730 3803458 5705187 6005460 7606916 9508645 11410374 19017290 22820748 28525935 38034580 57051870 114103740