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1123212440 = 235717832843
BaseRepresentation
bin100001011110010…
…1101110010011000
32220021112002210202
41002330231302120
54300020244230
6303242201332
736556101560
oct10274556230
92807462722
101123212440
1152702a149
122741b3248
1314b91a35c
14a9261da0
156891da45
hex42f2dc98

1123212440 has 128 divisors (see below), whose sum is σ = 3096092160. Its totient is φ = 357955584.

The previous prime is 1123212407. The next prime is 1123212451. The reversal of 1123212440 is 442123211.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 393659 + ... + 396501.

It is an arithmetic number, because the mean of its divisors is an integer number (24188220).

Almost surely, 21123212440 is an apocalyptic number.

1123212440 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 1123212440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1548046080).

1123212440 is an abundant number, since it is smaller than the sum of its proper divisors (1972879720).

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

1123212440 is a wasteful number, since it uses less digits than its factorization.

1123212440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2961 (or 2957 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1123212440 is about 33514.3616976364. The cubic root of 1123212440 is about 1039.4907640069.

Adding to 1123212440 its reverse (442123211), we get a palindrome (1565335651).

The spelling of 1123212440 in words is "one billion, one hundred twenty-three million, two hundred twelve thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 83 85 119 136 140 166 170 238 280 332 340 415 476 581 595 664 680 830 952 1162 1190 1411 1660 2324 2380 2822 2843 2905 3320 4648 4760 5644 5686 5810 7055 9877 11288 11372 11620 14110 14215 19754 19901 22744 23240 28220 28430 39508 39802 48331 49385 56440 56860 79016 79604 96662 98770 99505 113720 159208 193324 197540 199010 235969 241655 338317 386648 395080 398020 471938 483310 676634 796040 943876 966620 1179845 1353268 1651783 1691585 1887752 1933240 2359690 2706536 3303566 3383170 4011473 4719380 6607132 6766340 8022946 8258915 9438760 13214264 13532680 16045892 16517830 20057365 28080311 32091784 33035660 40114730 56160622 66071320 80229460 112321244 140401555 160458920 224642488 280803110 561606220 1123212440