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1138894200 = 2332521933301
BaseRepresentation
bin100001111100010…
…0010010101111000
32221101000211010200
41003320202111320
54313024103300
6305002242200
740136304153
oct10370422570
92841024120
101138894200
11534970084
122794b6360
13151c4b0c2
14ab384c9a
1569eba200
hex43e22578

1138894200 has 144 divisors (see below), whose sum is σ = 4026211800. Its totient is φ = 287712000.

The previous prime is 1138894199. The next prime is 1138894231. The reversal of 1138894200 is 24988311.

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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17550 + ... + 50850.

Almost surely, 21138894200 is an apocalyptic number.

1138894200 is a gapful number since it is divisible by the number (10) 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 1138894200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2013105900).

1138894200 is an abundant number, since it is smaller than the sum of its proper divisors (2887317600).

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

1138894200 is a wasteful number, since it uses less digits than its factorization.

1138894200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33342 (or 33330 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 1138894200 is about 33747.5065745604. The cubic root of 1138894200 is about 1044.3060493487.

The spelling of 1138894200 in words is "one billion, one hundred thirty-eight million, eight hundred ninety-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 25 30 36 38 40 45 50 57 60 72 75 76 90 95 100 114 120 150 152 171 180 190 200 225 228 285 300 342 360 380 450 456 475 570 600 684 760 855 900 950 1140 1368 1425 1710 1800 1900 2280 2850 3420 3800 4275 5700 6840 8550 11400 17100 33301 34200 66602 99903 133204 166505 199806 266408 299709 333010 399612 499515 599418 632719 666020 799224 832525 999030 1198836 1265438 1332040 1498545 1665050 1898157 1998060 2397672 2497575 2530876 2997090 3163595 3330100 3796314 3996120 4995150 5061752 5694471 5994180 6327190 6660200 7492725 7592628 9490785 9990300 11388942 11988360 12654380 14985450 15185256 15817975 18981570 19980600 22777884 25308760 28472355 29970900 31635950 37963140 45555768 47453925 56944710 59941800 63271900 75926280 94907850 113889420 126543800 142361775 189815700 227778840 284723550 379631400 569447100 1138894200