Search a number
-
+
12487440 = 243577433
BaseRepresentation
bin101111101000…
…101100010000
3212111102112210
4233220230100
511144044230
61123352120
7211066350
oct57505420
925442483
1012487440
117059aa9
124222640
132782b24
141930b60
151169eb0
hexbe8b10

12487440 has 80 divisors (see below), whose sum is σ = 44247168. Its totient is φ = 2853888.

The previous prime is 12487421. The next prime is 12487483. The reversal of 12487440 is 4478421.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 12487398 and 12487407.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2037 + ... + 5396.

Almost surely, 212487440 is an apocalyptic number.

12487440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12487440 is an abundant number, since it is smaller than the sum of its proper divisors (31759728).

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

12487440 is a wasteful number, since it uses less digits than its factorization.

12487440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7456 (or 7450 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 12487440 is about 3533.7572072795. The cubic root of 12487440 is about 232.0016844903.

The spelling of 12487440 in words is "twelve million, four hundred eighty-seven thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 7433 14866 22299 29732 37165 44598 52031 59464 74330 89196 104062 111495 118928 148660 156093 178392 208124 222990 260155 297320 312186 356784 416248 445980 520310 594640 624372 780465 832496 891960 1040620 1248744 1560930 1783920 2081240 2497488 3121860 4162480 6243720 12487440