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1138392150 = 235275771879
BaseRepresentation
bin100001111011010…
…0111110001010110
32221100002022110020
41003312213301112
54312412022100
6304543410010
740132113360
oct10366476126
92840068406
101138392150
11534657965
122792b3906
13151b0372c
14ab293d30
1569e1b5a0
hex43da7c56

1138392150 has 96 divisors (see below), whose sum is σ = 3233840640. Its totient is φ = 259614720.

The previous prime is 1138392127. The next prime is 1138392169. The reversal of 1138392150 is 512938311.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 604911 + ... + 606789.

It is an arithmetic number, because the mean of its divisors is an integer number (33685840).

Almost surely, 21138392150 is an apocalyptic number.

1138392150 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 1138392150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1616920320).

1138392150 is an abundant number, since it is smaller than the sum of its proper divisors (2095448490).

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

1138392150 is a wasteful number, since it uses less digits than its factorization.

1138392150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2478 (or 2473 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 1138392150 is about 33740.0674273185. The cubic root of 1138392150 is about 1044.1525756514.

The spelling of 1138392150 in words is "one billion, one hundred thirty-eight million, three hundred ninety-two thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 150 175 210 350 525 577 1050 1154 1731 1879 2885 3462 3758 4039 5637 5770 8078 8655 9395 11274 12117 13153 14425 17310 18790 20195 24234 26306 28185 28850 39459 40390 43275 46975 56370 60585 65765 78918 86550 93950 100975 121170 131530 140925 197295 201950 281850 302925 328825 394590 605850 657650 986475 1084183 1972950 2168366 3252549 5420915 6505098 7589281 10841830 15178562 16262745 22767843 27104575 32525490 37946405 45535686 54209150 75892810 81313725 113839215 162627450 189732025 227678430 379464050 569196075 1138392150