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14265020 = 22571159157
BaseRepresentation
bin110110011010…
…101010111100
3222211201221002
4312122222330
512122440040
61225425432
7232151660
oct66325274
928751832
1014265020
118063580
12493b278
132c55c53
141c748a0
1513bba15
hexd9aabc

14265020 has 96 divisors (see below), whose sum is σ = 38223360. Its totient is φ = 4343040.

The previous prime is 14265011. The next prime is 14265049. The reversal of 14265020 is 2056241.

14265020 = T56 + T57 + ... + T440.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 14264983 and 14265001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 90782 + ... + 90938.

It is an arithmetic number, because the mean of its divisors is an integer number (398160).

Almost surely, 214265020 is an apocalyptic number.

14265020 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 14265020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19111680).

14265020 is an abundant number, since it is smaller than the sum of its proper divisors (23958340).

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

14265020 is a wasteful number, since it uses less digits than its factorization.

14265020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 14265020 is about 3776.9061412749. The cubic root of 14265020 is about 242.5255296040.

It can be divided in two parts, 1426 and 5020, that added together give a palindrome (6446).

The spelling of 14265020 in words is "fourteen million, two hundred sixty-five thousand, twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 59 70 77 110 118 140 154 157 220 236 295 308 314 385 413 590 628 649 770 785 826 1099 1180 1298 1540 1570 1652 1727 2065 2198 2596 3140 3245 3454 4130 4396 4543 5495 6490 6908 8260 8635 9086 9263 10990 12089 12980 17270 18172 18526 21980 22715 24178 34540 37052 45430 46315 48356 60445 64841 90860 92630 101893 120890 129682 185260 203786 241780 259364 324205 407572 509465 648410 713251 1018930 1296820 1426502 2037860 2853004 3566255 7132510 14265020