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1142054208 = 26333891699
BaseRepresentation
bin100010000010010…
…0101110101000000
32221120222100212000
41010010211311000
54314331213313
6305154104000
740205205051
oct10404456500
92846870760
101142054208
11536729259
1227a57b000
131527b6529
14ab968728
156a3e1673
hex44125d40

1142054208 has 112 divisors (see below), whose sum is σ = 3368040000. Its totient is φ = 379482624.

The previous prime is 1142054183. The next prime is 1142054239. The reversal of 1142054208 is 8024502411.

1142054208 is a `hidden beast` number, since 114 + 2 + 0 + 542 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 671343 + ... + 673041.

Almost surely, 21142054208 is an apocalyptic number.

1142054208 is a gapful number since it is divisible by the number (18) 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 1142054208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1684020000).

1142054208 is an abundant number, since it is smaller than the sum of its proper divisors (2225985792).

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

1142054208 is a wasteful number, since it uses less digits than its factorization.

1142054208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2109 (or 2093 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 1142054208 is about 33794.2925358706. The cubic root of 1142054208 is about 1045.2710111105.

Adding to 1142054208 its reverse (8024502411), we get a palindrome (9166556619).

The spelling of 1142054208 in words is "one billion, one hundred forty-two million, fifty-four thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 389 432 576 778 864 1167 1556 1699 1728 2334 3112 3398 3501 4668 5097 6224 6796 7002 9336 10194 10503 12448 13592 14004 15291 18672 20388 21006 24896 27184 28008 30582 37344 40776 42012 45873 54368 56016 61164 74688 81552 84024 91746 108736 112032 122328 163104 168048 183492 224064 244656 326208 336096 366984 489312 660911 672192 733968 978624 1321822 1467936 1982733 2643644 2935872 3965466 5287288 5948199 7930932 10574576 11896398 15861864 17844597 21149152 23792796 31723728 35689194 42298304 47585592 63447456 71378388 95171184 126894912 142756776 190342368 285513552 380684736 571027104 1142054208