Search a number
-
+
1004141376 = 26327337739
BaseRepresentation
bin111011110110011…
…111101101000000
32120222110200000100
4323312133231000
54024030011001
6243350122400
733612026610
oct7366375500
92528420010
101004141376
114758a2307
12240350400
1313005a1c4
1497508a40
155d24d586
hex3bd9fb40

1004141376 has 168 divisors, whose sum is σ = 3303584960. Its totient is φ = 285659136.

The previous prime is 1004141351. The next prime is 1004141389. The reversal of 1004141376 is 6731414001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1358415 + ... + 1359153.

Almost surely, 21004141376 is an apocalyptic number.

1004141376 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1004141376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651792480).

1004141376 is an abundant number, since it is smaller than the sum of its proper divisors (2299443584).

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

1004141376 is a wasteful number, since it uses less digits than its factorization.

1004141376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1101 (or 1088 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 1004141376 is about 31688.1898504790. The cubic root of 1004141376 is about 1001.3785573730.

Adding to 1004141376 its reverse (6731414001), we get a palindrome (7735555377).

The spelling of 1004141376 in words is "one billion, four million, one hundred forty-one thousand, three hundred seventy-six".