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1054069296 = 24373538887
BaseRepresentation
bin111110110100111…
…101001000110000
32201110102021020120
4332310331020300
54124320204141
6252332210240
735056304220
oct7664751060
92643367216
101054069296
114a0aa3955
12255009980
1313a4bb857
149ddc4080
1562811c66
hex3ed3d230

1054069296 has 80 divisors (see below), whose sum is σ = 3121181184. Its totient is φ = 300275712.

The previous prime is 1054069253. The next prime is 1054069297. The reversal of 1054069296 is 6929604501.

It is a happy number.

It is a super-2 number, since 2×10540692962 = 2222124161539871232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (1054069297) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114165 + ... + 123051.

Almost surely, 21054069296 is an apocalyptic number.

1054069296 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 1054069296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1560590592).

1054069296 is an abundant number, since it is smaller than the sum of its proper divisors (2067111888).

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

1054069296 is a wasteful number, since it uses less digits than its factorization.

1054069296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9258 (or 9252 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 1054069296 is about 32466.4333735629. The cubic root of 1054069296 is about 1017.7076857134.

The spelling of 1054069296 in words is "one billion, fifty-four million, sixty-nine thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 353 706 1059 1412 2118 2471 2824 4236 4942 5648 7413 8472 8887 9884 14826 16944 17774 19768 26661 29652 35548 39536 53322 59304 62209 71096 106644 118608 124418 142192 186627 213288 248836 373254 426576 497672 746508 995344 1493016 2986032 3137111 6274222 9411333 12548444 18822666 21959777 25096888 37645332 43919554 50193776 65879331 75290664 87839108 131758662 150581328 175678216 263517324 351356432 527034648 1054069296