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1004220413 = 71761913633
BaseRepresentation
bin111011110110110…
…010111111111101
32120222121200102122
4323312302333331
54024040023123
6243351532325
733612506210
oct7366627775
92528550378
101004220413
11475946729
1224038a0a5
13130087181
1497529777
155d266bc8
hex3bdb2ffd

1004220413 has 16 divisors (see below), whose sum is σ = 1217243520. Its totient is φ = 808759296.

The previous prime is 1004220407. The next prime is 1004220419. The reversal of 1004220413 is 3140224001.

It is an interprime number because it is at equal distance from previous prime (1004220407) and next prime (1004220419).

It is a cyclic number.

It is not a de Polignac number, because 1004220413 - 24 = 1004220397 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a junction number, because it is equal to n+sod(n) for n = 1004220391 and 1004220400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1004220419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66845 + ... + 80477.

It is an arithmetic number, because the mean of its divisors is an integer number (76077720).

Almost surely, 21004220413 is an apocalyptic number.

It is an amenable number.

1004220413 is a deficient number, since it is larger than the sum of its proper divisors (213023107).

1004220413 is a wasteful number, since it uses less digits than its factorization.

1004220413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14276.

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 1004220413 is about 31689.4369309396. The cubic root of 1004220413 is about 1001.4048298622.

Adding to 1004220413 its reverse (3140224001), we get a palindrome (4144444414).

The spelling of 1004220413 in words is "one billion, four million, two hundred twenty thousand, four hundred thirteen".

Divisors: 1 7 17 119 619 4333 10523 13633 73661 95431 231761 1622327 8438827 59071789 143460059 1004220413