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14461020 = 22325723499
BaseRepresentation
bin110111001010…
…100001011100
31000012200210100
4313022201130
512200223040
61233541100
7233626260
oct67124134
930180710
1014461020
118187862
124a14790
132cc4222
141cc60a0
151409b30
hexdca85c

14461020 has 144 divisors (see below), whose sum is σ = 52416000. Its totient is φ = 3155328.

The previous prime is 14461019. The next prime is 14461021. The reversal of 14461020 is 2016441.

14461020 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (14461019) and next prime (14461021).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 14460984 and 14461002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14461021) 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, 28731 + ... + 29229.

It is an arithmetic number, because the mean of its divisors is an integer number (364000).

Almost surely, 214461020 is an apocalyptic number.

14461020 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 14461020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26208000).

14461020 is an abundant number, since it is smaller than the sum of its proper divisors (37954980).

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

14461020 is a wasteful number, since it uses less digits than its factorization.

14461020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 14461020 is about 3802.7647836804. The cubic root of 14461020 is about 243.6312399774.

Adding to 14461020 its reverse (2016441), we get a palindrome (16477461).

The spelling of 14461020 in words is "fourteen million, four hundred sixty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 23 28 30 35 36 42 45 46 60 63 69 70 84 90 92 105 115 126 138 140 161 180 207 210 230 252 276 315 322 345 414 420 460 483 499 630 644 690 805 828 966 998 1035 1260 1380 1449 1497 1610 1932 1996 2070 2415 2495 2898 2994 3220 3493 4140 4491 4830 4990 5796 5988 6986 7245 7485 8982 9660 9980 10479 11477 13972 14490 14970 17465 17964 20958 22455 22954 28980 29940 31437 34431 34930 41916 44910 45908 52395 57385 62874 68862 69860 80339 89820 103293 104790 114770 125748 137724 157185 160678 172155 206586 209580 229540 241017 314370 321356 344310 401695 413172 482034 516465 628740 688620 723051 803390 964068 1032930 1205085 1446102 1606780 2065860 2410170 2892204 3615255 4820340 7230510 14461020