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14310120 = 23351137293
BaseRepresentation
bin110110100101…
…101011101000
3222221000210110
4312211223220
512130410440
61230414320
7232430316
oct66455350
928830713
1014310120
118094450
1249613a0
132c70636
141c870b6
1513ca080
hexda5ae8

14310120 has 128 divisors (see below), whose sum is σ = 48263040. Its totient is φ = 3363840.

The previous prime is 14310091. The next prime is 14310151. The reversal of 14310120 is 2101341.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 14310096 and 14310105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48694 + ... + 48986.

It is an arithmetic number, because the mean of its divisors is an integer number (377055).

Almost surely, 214310120 is an apocalyptic number.

14310120 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 14310120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24131520).

14310120 is an abundant number, since it is smaller than the sum of its proper divisors (33952920).

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

14310120 is a wasteful number, since it uses less digits than its factorization.

14310120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 14310120 is about 3782.8719248740. The cubic root of 14310120 is about 242.7808486659.

Adding to 14310120 its reverse (2101341), we get a palindrome (16411461).

The spelling of 14310120 in words is "fourteen million, three hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 37 40 44 55 60 66 74 88 110 111 120 132 148 165 185 220 222 264 293 296 330 370 407 440 444 555 586 660 740 814 879 888 1110 1172 1221 1320 1465 1480 1628 1758 2035 2220 2344 2442 2930 3223 3256 3516 4070 4395 4440 4884 5860 6105 6446 7032 8140 8790 9669 9768 10841 11720 12210 12892 16115 16280 17580 19338 21682 24420 25784 32230 32523 35160 38676 43364 48345 48840 54205 64460 65046 77352 86728 96690 108410 119251 128920 130092 162615 193380 216820 238502 260184 325230 357753 386760 433640 477004 596255 650460 715506 954008 1192510 1300920 1431012 1788765 2385020 2862024 3577530 4770040 7155060 14310120