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1131316440 = 233537673803
BaseRepresentation
bin100001101101110…
…1000010011011000
32220211202211101220
41003123220103120
54304104111230
6304132012040
740015013442
oct10333502330
92824684356
101131316440
11530664871
12276a61020
131504c6c17
14aa371492
15694bed10
hex436e84d8

1131316440 has 128 divisors (see below), whose sum is σ = 3538632960. Its totient is φ = 289073664.

The previous prime is 1131316423. The next prime is 1131316447. The reversal of 1131316440 is 446131311.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1131316440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131316447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 295579 + ... + 299381.

It is an arithmetic number, because the mean of its divisors is an integer number (27645570).

Almost surely, 21131316440 is an apocalyptic number.

1131316440 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 1131316440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1769316480).

1131316440 is an abundant number, since it is smaller than the sum of its proper divisors (2407316520).

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

1131316440 is a wasteful number, since it uses less digits than its factorization.

1131316440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3921 (or 3917 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 1131316440 is about 33635.0477924441. The cubic root of 1131316440 is about 1041.9847576679.

Adding to 1131316440 its reverse (446131311), we get a palindrome (1577447751).

The spelling of 1131316440 in words is "one billion, one hundred thirty-one million, three hundred sixteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 67 74 111 120 134 148 185 201 222 268 296 335 370 402 444 536 555 670 740 804 888 1005 1110 1340 1480 1608 2010 2220 2479 2680 3803 4020 4440 4958 7437 7606 8040 9916 11409 12395 14874 15212 19015 19832 22818 24790 29748 30424 37185 38030 45636 49580 57045 59496 74370 76060 91272 99160 114090 140711 148740 152120 228180 254801 281422 297480 422133 456360 509602 562844 703555 764403 844266 1019204 1125688 1274005 1407110 1528806 1688532 2038408 2110665 2548010 2814220 3057612 3377064 3822015 4221330 5096020 5628440 6115224 7644030 8442660 9427637 10192040 15288060 16885320 18855274 28282911 30576120 37710548 47138185 56565822 75421096 94276370 113131644 141414555 188552740 226263288 282829110 377105480 565658220 1131316440