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1138752720 = 243257225943
BaseRepresentation
bin100001111011111…
…1111110011010000
32221100202122001200
41003313333303100
54313010041340
6304555231200
740135144530
oct10367776320
92840678050
101138752720
11534883856
12279448500
13151bcb8a1
14ab3494c0
1569e8d330
hex43dffcd0

1138752720 has 120 divisors (see below), whose sum is σ = 4370660736. Its totient is φ = 260285184.

The previous prime is 1138752691. The next prime is 1138752731. The reversal of 1138752720 is 272578311.

1138752720 is a `hidden beast` number, since 1 + 1 + 387 + 5 + 272 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107932 + ... + 118011.

Almost surely, 21138752720 is an apocalyptic number.

1138752720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1138752720 is an abundant number, since it is smaller than the sum of its proper divisors (3231908016).

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

1138752720 is a wasteful number, since it uses less digits than its factorization.

1138752720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225969 (or 225960 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 1138752720 is about 33745.4103545949. The cubic root of 1138752720 is about 1044.2628043196.

The spelling of 1138752720 in words is "one billion, one hundred thirty-eight million, seven hundred fifty-two thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 225943 451886 677829 903772 1129715 1355658 1581601 1807544 2033487 2259430 2711316 3163202 3389145 3615088 4066974 4518860 4744803 5422632 6326404 6778290 7908005 8133948 9037720 9489606 10167435 10845264 12652808 13556580 14234409 15816010 16267896 18075440 18979212 20334870 23724015 25305616 27113160 28468818 31632020 32535792 37958424 40669740 47448030 54226320 56937636 63264040 71172045 75916848 81339480 94896060 113875272 126528080 142344090 162678960 189792120 227750544 284688180 379584240 569376360 1138752720