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1040965696 = 263721092
BaseRepresentation
bin111110000010111…
…110000001000000
32200112202112111001
4332002332001000
54112441400241
6251143301344
734540030261
oct7602760100
92615675431
101040965696
11494663a31
1225074a854
13137881444
149c372968
15615c4431
hex3e0be040

1040965696 has 63 divisors (see below), whose sum is σ = 2142659799. Its totient is φ = 501769728.

The previous prime is 1040965661. The next prime is 1040965747. The reversal of 1040965696 is 6965690401.

The square root of 1040965696 is 32264.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 388878400 + 652087296 = 19720^2 + 25536^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9550090 + ... + 9550198.

It is an arithmetic number, because the mean of its divisors is an integer number (34010473).

Almost surely, 21040965696 is an apocalyptic number.

1040965696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1040965696 is the 32264-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1040965696

1040965696 is an abundant number, since it is smaller than the sum of its proper divisors (1101694103).

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

1040965696 is an frugal number, since it uses more digits than its factorization.

1040965696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 46.

The cubic root of 1040965696 is about 1013.4728978286.

The spelling of 1040965696 in words is "one billion, forty million, nine hundred sixty-five thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 32 37 64 74 109 148 218 296 436 592 872 1184 1369 1744 2368 2738 3488 4033 5476 6976 8066 10952 11881 16132 21904 23762 32264 43808 47524 64528 87616 95048 129056 149221 190096 258112 298442 380192 439597 596884 760384 879194 1193768 1758388 2387536 3516776 4775072 7033552 9550144 14067104 16265089 28134208 32530178 65060356 130120712 260241424 520482848 1040965696