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114029740 = 225112961293
BaseRepresentation
bin1101100101111…
…11010010101100
321221120022101201
412302333102230
5213142422430
615152015244
72553144136
oct662772254
9257508351
10114029740
1159404260
1232231524
131a816626
1411204056
15a0268ca
hex6cbf4ac

114029740 has 96 divisors (see below), whose sum is σ = 275607360. Its totient is φ = 39244800.

The previous prime is 114029731. The next prime is 114029767. The reversal of 114029740 is 47920411.

It is a junction number, because it is equal to n+sod(n) for n = 114029699 and 114029708.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 389034 + ... + 389326.

It is an arithmetic number, because the mean of its divisors is an integer number (2870910).

Almost surely, 2114029740 is an apocalyptic number.

114029740 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 114029740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137803680).

114029740 is an abundant number, since it is smaller than the sum of its proper divisors (161577620).

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

114029740 is a wasteful number, since it uses less digits than its factorization.

114029740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 114029740 is about 10678.4708643139. The cubic root of 114029740 is about 484.9229196950.

The spelling of 114029740 in words is "one hundred fourteen million, twenty-nine thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 61 110 116 122 145 220 244 290 293 305 319 580 586 610 638 671 1172 1220 1276 1342 1465 1595 1769 2684 2930 3190 3223 3355 3538 5860 6380 6446 6710 7076 8497 8845 12892 13420 16115 16994 17690 17873 19459 32230 33988 35380 35746 38918 42485 64460 71492 77836 84970 89365 93467 97295 169940 178730 186934 194590 196603 357460 373868 389180 393206 467335 518317 786412 934670 983015 1036634 1869340 1966030 2073268 2591585 3932060 5183170 5701487 10366340 11402974 22805948 28507435 57014870 114029740