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39014430 = 23571331461
BaseRepresentation
bin1001010011010…
…1000000011110
32201102010201220
42110311000132
534441430210
63512114210
7652421460
oct224650036
981363656
1039014430
1120028134
1211095966
138110080
145278130
153659c70
hex253501e

39014430 has 128 divisors (see below), whose sum is σ = 119218176. Its totient is φ = 7948800.

The previous prime is 39014407. The next prime is 39014431. The reversal of 39014430 is 3441093.

It is a self number, because there is not a number n which added to its sum of digits gives 39014430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39014431) 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 63 ways as a sum of consecutive naturals, for example, 84400 + ... + 84860.

It is an arithmetic number, because the mean of its divisors is an integer number (931392).

Almost surely, 239014430 is an apocalyptic number.

39014430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 39014430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59609088).

39014430 is an abundant number, since it is smaller than the sum of its proper divisors (80203746).

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

39014430 is a wasteful number, since it uses less digits than its factorization.

39014430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522.

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 39014430 is about 6246.1532161803. The cubic root of 39014430 is about 339.1629640852.

The spelling of 39014430 in words is "thirty-nine million, fourteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 31 35 39 42 62 65 70 78 91 93 105 130 155 182 186 195 210 217 273 310 390 403 434 455 461 465 546 651 806 910 922 930 1085 1209 1302 1365 1383 2015 2170 2305 2418 2730 2766 2821 3227 3255 4030 4610 5642 5993 6045 6454 6510 6915 8463 9681 11986 12090 13830 14105 14291 16135 16926 17979 19362 28210 28582 29965 32270 35958 41951 42315 42873 48405 59930 71455 83902 84630 85746 89895 96810 100037 125853 142910 179790 185783 200074 209755 214365 251706 300111 371566 419510 428730 500185 557349 600222 629265 928915 1000370 1114698 1258530 1300481 1500555 1857830 2600962 2786745 3001110 3901443 5573490 6502405 7802886 13004810 19507215 39014430