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14840820 = 223459161
BaseRepresentation
bin111000100111…
…001111110100
31000220222210000
4320213033310
512244401240
61250031300
7240100461
oct70471764
930828700
1014840820
118417145
124b78530
1330c8067
141d84668
151482430
hexe273f4

14840820 has 60 divisors (see below), whose sum is σ = 46561284. Its totient is φ = 3957120.

The previous prime is 14840809. The next prime is 14840821. The reversal of 14840820 is 2804841.

It can be written as a sum of positive squares in 2 ways, for example, as 5143824 + 9696996 = 2268^2 + 3114^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14840821) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2961 + ... + 6200.

Almost surely, 214840820 is an apocalyptic number.

14840820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14840820 is an abundant number, since it is smaller than the sum of its proper divisors (31720464).

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

14840820 is a wasteful number, since it uses less digits than its factorization.

14840820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9182 (or 9171 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 14840820 is about 3852.3784860784. The cubic root of 14840820 is about 245.7457217886.

The spelling of 14840820 in words is "fourteen million, eight hundred forty thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 9161 18322 27483 36644 45805 54966 82449 91610 109932 137415 164898 183220 247347 274830 329796 412245 494694 549660 742041 824490 989388 1236735 1484082 1648980 2473470 2968164 3710205 4946940 7420410 14840820