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1304920 = 2351719101
BaseRepresentation
bin100111110100101011000
32110022000101
410332211120
5313224140
643545144
714043301
oct4764530
92408011
101304920
11811451
1252b1b4
13368c56
1425d7a8
151ab99a
hex13e958

1304920 has 64 divisors (see below), whose sum is σ = 3304800. Its totient is φ = 460800.

The previous prime is 1304893. The next prime is 1304923. The reversal of 1304920 is 294031.

1304920 = T131 + T132 + ... + T215.

1304920 is a nontrivial binomial coefficient, being equal to C(1616, 2).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1304923) by changing a digit.

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, 12870 + ... + 12970.

21304920 is an apocalyptic number.

1304920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1304920 is the 1615-th triangular number and also the 808-th hexagonal number.

1304920 is the 539-th centered nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1304920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1652400).

1304920 is an abundant number, since it is smaller than the sum of its proper divisors (1999880).

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

1304920 is a wasteful number, since it uses less digits than its factorization.

1304920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 1304920 is about 1142.3309502942. The cubic root of 1304920 is about 109.2767983873.

Adding to 1304920 its reverse (294031), we get a palindrome (1598951).

It can be divided in two parts, 130 and 4920, that added together give a triangular number (5050 = T100).

The spelling of 1304920 in words is "one million, three hundred four thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 17 19 20 34 38 40 68 76 85 95 101 136 152 170 190 202 323 340 380 404 505 646 680 760 808 1010 1292 1615 1717 1919 2020 2584 3230 3434 3838 4040 6460 6868 7676 8585 9595 12920 13736 15352 17170 19190 32623 34340 38380 65246 68680 76760 130492 163115 260984 326230 652460 1304920