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1138583250 = 23353724097
BaseRepresentation
bin100001111011101…
…0110011011010010
32221100110000121000
41003313112123102
54312434131000
6304551442430
740133540460
oct10367263322
92840400530
101138583250
115347784a2
12279386416
13151b6c6cc
14ab303830
1569e58000
hex43dd66d2

1138583250 has 128 divisors (see below), whose sum is σ = 3608916480. Its totient is φ = 260236800.

The previous prime is 1138583213. The next prime is 1138583267. The reversal of 1138583250 is 523858311.

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 63 ways as a sum of consecutive naturals, for example, 35202 + ... + 59298.

It is an arithmetic number, because the mean of its divisors is an integer number (28194660).

Almost surely, 21138583250 is an apocalyptic number.

1138583250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1138583250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1804458240).

1138583250 is an abundant number, since it is smaller than the sum of its proper divisors (2470333230).

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

1138583250 is a wasteful number, since it uses less digits than its factorization.

1138583250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24130 (or 24114 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 1138583250 is about 33742.8992530280. The cubic root of 1138583250 is about 1044.2109991021.

The spelling of 1138583250 in words is "one billion, one hundred thirty-eight million, five hundred eighty-three thousand, two hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 27 30 35 42 45 50 54 63 70 75 90 105 125 126 135 150 175 189 210 225 250 270 315 350 375 378 450 525 630 675 750 875 945 1050 1125 1350 1575 1750 1890 2250 2625 3150 3375 4725 5250 6750 7875 9450 15750 23625 24097 47250 48194 72291 120485 144582 168679 216873 240970 337358 361455 433746 506037 602425 650619 722910 843395 1012074 1084365 1204850 1301238 1518111 1686790 1807275 2168730 2530185 3012125 3036222 3253095 3614550 4216975 4554333 5060370 5421825 6024250 6506190 7590555 8433950 9036375 9108666 10843650 12650925 15181110 16265475 18072750 21084875 22771665 25301850 27109125 32530950 37952775 42169750 45543330 54218250 63254625 75905550 81327375 113858325 126509250 162654750 189763875 227716650 379527750 569291625 1138583250