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1040776050 = 235297233307
BaseRepresentation
bin111110000010001…
…111101101110010
32200112101220100010
4332002033231302
54112414313200
6251135235350
734535310336
oct7602175562
92615356303
101040776050
114945444a6
12250678b56
13137816022
149c3237c6
1561588150
hex3e08fb72

1040776050 has 96 divisors (see below), whose sum is σ = 2627456832. Its totient is φ = 272609280.

The previous prime is 1040776043. The next prime is 1040776067. The reversal of 1040776050 is 506770401.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1040775999 and 1040776017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3389997 + ... + 3390303.

It is an arithmetic number, because the mean of its divisors is an integer number (27369342).

Almost surely, 21040776050 is an apocalyptic number.

1040776050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1040776050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1313728416).

1040776050 is an abundant number, since it is smaller than the sum of its proper divisors (1586680782).

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

1040776050 is a wasteful number, since it uses less digits than its factorization.

1040776050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 1040776050 is about 32261.0608939012. The cubic root of 1040776050 is about 1013.4113483286.

The spelling of 1040776050 in words is "one billion, forty million, seven hundred seventy-six thousand, fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 97 150 194 233 291 307 466 485 582 614 699 921 970 1165 1398 1455 1535 1842 2330 2425 2910 3070 3495 4605 4850 5825 6990 7275 7675 9210 11650 14550 15350 17475 22601 23025 29779 34950 45202 46050 59558 67803 71531 89337 113005 135606 143062 148895 178674 214593 226010 297790 339015 357655 429186 446685 565025 678030 715310 744475 893370 1072965 1130050 1488950 1695075 1788275 2145930 2233425 3390150 3576550 4466850 5364825 6938507 10729650 13877014 20815521 34692535 41631042 69385070 104077605 173462675 208155210 346925350 520388025 1040776050