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1354757768 = 2371312714653
BaseRepresentation
bin101000010111111…
…1111011010001000
310111102012211021122
41100233333122020
510233304222033
6342233054412
745400152050
oct12057773210
93442184248
101354757768
116357a8621
12319857408
1318789ab20
14cbcd6560
157de09a98
hex50bff688

1354757768 has 64 divisors (see below), whose sum is σ = 3151196160. Its totient is φ = 531691776.

The previous prime is 1354757737. The next prime is 1354757773. The reversal of 1354757768 is 8677574531.

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 15 ways as a sum of consecutive naturals, for example, 85130 + ... + 99782.

It is an arithmetic number, because the mean of its divisors is an integer number (49237440).

Almost surely, 21354757768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1354757768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1575598080).

1354757768 is an abundant number, since it is smaller than the sum of its proper divisors (1796438392).

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

1354757768 is a wasteful number, since it uses less digits than its factorization.

1354757768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14806 (or 14802 counting only the distinct ones).

The product of its digits is 4939200, while the sum is 53.

The square root of 1354757768 is about 36807.0342190185. The cubic root of 1354757768 is about 1106.5062804454.

The spelling of 1354757768 in words is "one billion, three hundred fifty-four million, seven hundred fifty-seven thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 127 182 254 364 508 728 889 1016 1651 1778 3302 3556 6604 7112 11557 13208 14653 23114 29306 46228 58612 92456 102571 117224 190489 205142 380978 410284 761956 820568 1333423 1523912 1860931 2666846 3721862 5333692 7443724 10667384 13026517 14887448 24192103 26053034 48384206 52106068 96768412 104212136 169344721 193536824 338689442 677378884 1354757768