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14015970 = 2335233761
BaseRepresentation
bin110101011101…
…110111100010
3222101002022000
4311131313202
512042002340
61220224430
7230063613
oct65356742
928332260
1014015970
117a03451
12483b116
132b99797
141c0bc0a
15136cd30
hexd5dde2

14015970 has 128 divisors (see below), whose sum is σ = 40711680. Its totient is φ = 3421440.

The previous prime is 14015951. The next prime is 14016029. The reversal of 14015970 is 7951041.

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, 229740 + ... + 229800.

It is an arithmetic number, because the mean of its divisors is an integer number (318060).

Almost surely, 214015970 is an apocalyptic number.

14015970 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 14015970, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20355840).

14015970 is an abundant number, since it is smaller than the sum of its proper divisors (26695710).

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

14015970 is a wasteful number, since it uses less digits than its factorization.

14015970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 14015970 is about 3743.7908595433. The cubic root of 14015970 is about 241.1058343839.

It can be divided in two parts, 140 and 15970, that added together give a triangular number (16110 = T179).

The spelling of 14015970 in words is "fourteen million, fifteen thousand, nine hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 37 45 46 54 61 69 74 90 111 115 122 135 138 183 185 207 222 230 270 305 333 345 366 370 414 549 555 610 621 666 690 851 915 999 1035 1098 1110 1242 1403 1647 1665 1702 1830 1998 2070 2257 2553 2745 2806 3105 3294 3330 4209 4255 4514 4995 5106 5490 6210 6771 7015 7659 8235 8418 8510 9990 11285 12627 12765 13542 14030 15318 16470 20313 21045 22570 22977 25254 25530 33855 37881 38295 40626 42090 45954 51911 60939 63135 67710 75762 76590 101565 103822 114885 121878 126270 155733 189405 203130 229770 259555 304695 311466 378810 467199 519110 609390 778665 934398 1401597 1557330 2335995 2803194 4671990 7007985 14015970