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1135940 = 2251317257
BaseRepresentation
bin100010101010101000100
32010201012212
410111111010
5242322230
640202552
712440531
oct4252504
92121185
101135940
117064a3
12469458
1330a070
14217d88
15176895
hex115544

1135940 has 48 divisors (see below), whose sum is σ = 2730672. Its totient is φ = 393216.

The previous prime is 1135921. The next prime is 1135951. The reversal of 1135940 is 495311.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 50176 + 1085764 = 224^2 + 1042^2 .

It is a zygodrome in base 16.

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, 4292 + ... + 4548.

It is an arithmetic number, because the mean of its divisors is an integer number (56889).

21135940 is an apocalyptic number.

1135940 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 1135940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1365336).

1135940 is an abundant number, since it is smaller than the sum of its proper divisors (1594732).

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

1135940 is a wasteful number, since it uses less digits than its factorization.

1135940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 1135940 is about 1065.8048601878. The cubic root of 1135940 is about 104.3402318849.

The spelling of 1135940 in words is "one million, one hundred thirty-five thousand, nine hundred forty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 257 260 340 442 514 884 1028 1105 1285 2210 2570 3341 4369 4420 5140 6682 8738 13364 16705 17476 21845 33410 43690 56797 66820 87380 113594 227188 283985 567970 1135940