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1139400 = 233352211
BaseRepresentation
bin100010110001011001000
32010212222000
410112023020
5242430100
640231000
712453603
oct4261310
92125860
101139400
11709059
1246b460
1330b802
1421933a
15177900
hex1162c8

1139400 has 96 divisors (see below), whose sum is σ = 3943200. Its totient is φ = 302400.

The previous prime is 1139393. The next prime is 1139407. The reversal of 1139400 is 49311.

It is an interprime number because it is at equal distance from previous prime (1139393) and next prime (1139407).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1139407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5295 + ... + 5505.

It is an arithmetic number, because the mean of its divisors is an integer number (41075).

21139400 is an apocalyptic number.

1139400 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 1139400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1971600).

1139400 is an abundant number, since it is smaller than the sum of its proper divisors (2803800).

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

1139400 is a wasteful number, since it uses less digits than its factorization.

1139400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 1139400 is about 1067.4268124794. The cubic root of 1139400 is about 104.4460623796.

The spelling of 1139400 in words is "one million, one hundred thirty-nine thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 90 100 108 120 135 150 180 200 211 216 225 270 300 360 422 450 540 600 633 675 844 900 1055 1080 1266 1350 1688 1800 1899 2110 2532 2700 3165 3798 4220 5064 5275 5400 5697 6330 7596 8440 9495 10550 11394 12660 15192 15825 18990 21100 22788 25320 28485 31650 37980 42200 45576 47475 56970 63300 75960 94950 113940 126600 142425 189900 227880 284850 379800 569700 1139400