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114378930 = 232541139223
BaseRepresentation
bin1101101000101…
…00100010110010
321222020001101200
412310110202302
5213240111210
615203312030
72556130161
oct664244262
9258201350
10114378930
1159622646
123237b616
131a909553
14112953d8
15a0950c0
hex6d148b2

114378930 has 96 divisors (see below), whose sum is σ = 308206080. Its totient is φ = 29410560.

The previous prime is 114378911. The next prime is 114378937. The reversal of 114378930 is 39873411.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (114378937) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 512799 + ... + 513021.

It is an arithmetic number, because the mean of its divisors is an integer number (3210480).

Almost surely, 2114378930 is an apocalyptic number.

114378930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 114378930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154103040).

114378930 is an abundant number, since it is smaller than the sum of its proper divisors (193827150).

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

114378930 is a wasteful number, since it uses less digits than its factorization.

114378930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 114378930 is about 10694.8085536862. The cubic root of 114378930 is about 485.4174038028.

The spelling of 114378930 in words is "one hundred fourteen million, three hundred seventy-eight thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 41 45 82 90 123 139 205 223 246 278 369 410 417 446 615 669 695 738 834 1115 1230 1251 1338 1390 1845 2007 2085 2230 2502 3345 3690 4014 4170 5699 6255 6690 9143 10035 11398 12510 17097 18286 20070 27429 28495 30997 34194 45715 51291 54858 56990 61994 82287 85485 91430 92991 102582 137145 154985 164574 170970 185982 256455 274290 278973 309970 411435 464955 512910 557946 822870 929910 1270877 1394865 2541754 2789730 3812631 6354385 7625262 11437893 12708770 19063155 22875786 38126310 57189465 114378930