Search a number
-
+
1041410624 = 2697227739
BaseRepresentation
bin111110000100101…
…010101001000000
32200120121010210212
4332010222221000
54113100114444
6251201013252
734543562402
oct7604525100
92616533725
101041410624
11494938241
12250924228
131379a8b07
149c44ab72
156166119e
hex3e12aa40

1041410624 has 56 divisors (see below), whose sum is σ = 2099889120. Its totient is φ = 512372736.

The previous prime is 1041410597. The next prime is 1041410639. The reversal of 1041410624 is 4260141401.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1041410624.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1408847 + ... + 1409585.

It is an arithmetic number, because the mean of its divisors is an integer number (37498020).

Almost surely, 21041410624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1041410624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1049944560).

1041410624 is an abundant number, since it is smaller than the sum of its proper divisors (1058478496).

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

1041410624 is an equidigital number, since it uses as much as digits as its factorization.

1041410624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 1041410624 is about 32270.8943786812. The cubic root of 1041410624 is about 1013.6172696179.

The spelling of 1041410624 in words is "one billion, forty-one million, four hundred ten thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 97 194 227 388 454 739 776 908 1478 1552 1816 2956 3104 3632 5912 6208 7264 11824 14528 22019 23648 44038 47296 71683 88076 143366 167753 176152 286732 335506 352304 573464 671012 704608 1146928 1342024 1409216 2293856 2684048 4587712 5368096 10736192 16272041 32544082 65088164 130176328 260352656 520705312 1041410624