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1050434720 = 255832953
BaseRepresentation
bin111110100111000…
…101110010100000
32201012120121112122
4332213011302200
54122402402340
6252122243412
735013355616
oct7647056240
92635517478
101050434720
11499a41175
12253956568
1313981840a
149d7196b6
1562344db5
hex3e9c5ca0

1050434720 has 72 divisors (see below), whose sum is σ = 2514547476. Its totient is φ = 414675968.

The previous prime is 1050434713. The next prime is 1050434747. The reversal of 1050434720 is 274340501.

1050434720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1037097616 + 13337104 = 32204^2 + 3652^2 .

It is a super-2 number, since 2×10504347202 = 2206826201962956800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1050434720.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1101764 + ... + 1102716.

Almost surely, 21050434720 is an apocalyptic number.

1050434720 is a gapful number since it is divisible by the number (10) 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 1050434720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257273738).

1050434720 is an abundant number, since it is smaller than the sum of its proper divisors (1464112756).

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

1050434720 is an frugal number, since it uses more digits than its factorization.

1050434720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1134 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 1050434720 is about 32410.4106731155. The cubic root of 1050434720 is about 1016.5366066118.

The spelling of 1050434720 in words is "one billion, fifty million, four hundred thirty-four thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 83 160 166 332 415 664 830 953 1328 1660 1906 2656 3320 3812 4765 6640 6889 7624 9530 13280 13778 15248 19060 27556 30496 34445 38120 55112 68890 76240 79099 110224 137780 152480 158198 220448 275560 316396 395495 551120 632792 790990 1102240 1265584 1581980 2531168 3163960 6327920 6565217 12655840 13130434 26260868 32826085 52521736 65652170 105043472 131304340 210086944 262608680 525217360 1050434720