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1138940 = 2251131167
BaseRepresentation
bin100010110000011111100
32010212022222
410112003330
5242421230
640224512
712452345
oct4260374
92125288
101138940
11708780
1246b138
1330b53a
142190cc
151776e5
hex1160fc

1138940 has 48 divisors (see below), whose sum is σ = 2709504. Its totient is φ = 398400.

The previous prime is 1138919. The next prime is 1138957. The reversal of 1138940 is 498311.

1138940 = T296 + T297 + ... + T319.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6737 + ... + 6903.

It is an arithmetic number, because the mean of its divisors is an integer number (56448).

21138940 is an apocalyptic number.

1138940 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 1138940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1354752).

1138940 is an abundant number, since it is smaller than the sum of its proper divisors (1570564).

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

1138940 is a wasteful number, since it uses less digits than its factorization.

1138940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 1138940 is about 1067.2113192803. The cubic root of 1138940 is about 104.4320047891.

The spelling of 1138940 in words is "one million, one hundred thirty-eight thousand, nine hundred forty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 124 155 167 220 310 334 341 620 668 682 835 1364 1670 1705 1837 3340 3410 3674 5177 6820 7348 9185 10354 18370 20708 25885 36740 51770 56947 103540 113894 227788 284735 569470 1138940