Search a number
-
+
7982040 = 2335116047
BaseRepresentation
bin11110011100101111011000
3120000112022010
4132130233120
54020411130
6443025520
7124563153
oct36345730
916015263
107982040
114562030
12280b2a0
131866201
1410bac9a
15a7a0b0
hex79cbd8

7982040 has 64 divisors (see below), whose sum is σ = 26127360. Its totient is φ = 1934720.

The previous prime is 7982021. The next prime is 7982053. The reversal of 7982040 is 402897.

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

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 7981989 and 7982007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1704 + ... + 4343.

It is an arithmetic number, because the mean of its divisors is an integer number (408240).

Almost surely, 27982040 is an apocalyptic number.

It is an amenable number.

7982040 is an abundant number, since it is smaller than the sum of its proper divisors (18145320).

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

7982040 is a wasteful number, since it uses less digits than its factorization.

7982040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6072 (or 6068 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 7982040 is about 2825.2504313777. The cubic root of 7982040 is about 199.8502211929.

Subtracting from 7982040 its sum of digits (30), we obtain a triangular number (7982010 = T3995).

The spelling of 7982040 in words is "seven million, nine hundred eighty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 6047 12094 18141 24188 30235 36282 48376 60470 66517 72564 90705 120940 133034 145128 181410 199551 241880 266068 332585 362820 399102 532136 665170 725640 798204 997755 1330340 1596408 1995510 2660680 3991020 7982040