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14029470 = 2335713571
BaseRepresentation
bin110101100001…
…001010011110
3222101202211000
4311201022132
512042420340
61220411130
7230151150
oct65411236
928352730
1014029470
117a12604
124846aa6
132ba2980
141c12ad0
151371d30
hexd6129e

14029470 has 128 divisors (see below), whose sum is σ = 46126080. Its totient is φ = 2954880.

The previous prime is 14029459. The next prime is 14029493. The reversal of 14029470 is 7492041.

It is a happy number.

14029470 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24285 + ... + 24855.

It is an arithmetic number, because the mean of its divisors is an integer number (360360).

Almost surely, 214029470 is an apocalyptic number.

14029470 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 14029470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23063040).

14029470 is an abundant number, since it is smaller than the sum of its proper divisors (32096610).

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

14029470 is a wasteful number, since it uses less digits than its factorization.

14029470 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 607 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 14029470 is about 3745.5934109297. The cubic root of 14029470 is about 241.1832195450.

The spelling of 14029470 in words is "fourteen million, twenty-nine thousand, four hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 13 14 15 18 21 26 27 30 35 39 42 45 54 63 65 70 78 90 91 105 117 126 130 135 182 189 195 210 234 270 273 315 351 378 390 455 546 571 585 630 702 819 910 945 1142 1170 1365 1638 1713 1755 1890 2457 2730 2855 3426 3510 3997 4095 4914 5139 5710 7423 7994 8190 8565 10278 11991 12285 14846 15417 17130 19985 22269 23982 24570 25695 30834 35973 37115 39970 44538 51390 51961 59955 66807 71946 74230 77085 103922 107919 111345 119910 133614 154170 155883 179865 200421 215838 222690 259805 311766 334035 359730 400842 467649 519610 539595 668070 779415 935298 1002105 1079190 1402947 1558830 2004210 2338245 2805894 4676490 7014735 14029470