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1131840 = 26335131
BaseRepresentation
bin100010100010101000000
32010111121000
410110111000
5242204330
640132000
712422553
oct4242500
92114530
101131840
11703406
12467000
13308238
1421669a
15175560
hex114540

1131840 has 112 divisors (see below), whose sum is σ = 4023360. Its totient is φ = 299520.

The previous prime is 1131839. The next prime is 1131857. The reversal of 1131840 is 481311.

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

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, 8575 + ... + 8705.

21131840 is an apocalyptic number.

1131840 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 1131840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2011680).

1131840 is an abundant number, since it is smaller than the sum of its proper divisors (2891520).

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

1131840 is a wasteful number, since it uses less digits than its factorization.

1131840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1131840 is about 1063.8796924465. The cubic root of 1131840 is about 104.2145472326.

It can be divided in two parts, 113 and 1840, that added together give a triangular number (1953 = T62).

The spelling of 1131840 in words is "one million, one hundred thirty-one thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 131 135 144 160 180 192 216 240 262 270 288 320 360 393 432 480 524 540 576 655 720 786 864 960 1048 1080 1179 1310 1440 1572 1728 1965 2096 2160 2358 2620 2880 3144 3537 3930 4192 4320 4716 5240 5895 6288 7074 7860 8384 8640 9432 10480 11790 12576 14148 15720 17685 18864 20960 23580 25152 28296 31440 35370 37728 41920 47160 56592 62880 70740 75456 94320 113184 125760 141480 188640 226368 282960 377280 565920 1131840