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1124213420 = 2251122983193
BaseRepresentation
bin100001100000010…
…0010001010101100
32220100101221220002
41003000202022230
54300244312140
6303315443432
736600441101
oct10300421254
92810357802
101124213420
11527653200
122745b6578
1314bbaab55
14a9442aa8
1568a6a415
hex430222ac

1124213420 has 144 divisors (see below), whose sum is σ = 2730883680. Its totient is φ = 387932160.

The previous prime is 1124213407. The next prime is 1124213423. The reversal of 1124213420 is 243124211.

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

It is a junction number, because it is equal to n+sod(n) for n = 1124213392 and 1124213401.

It is not an unprimeable number, because it can be changed into a prime (1124213423) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5824844 + ... + 5825036.

It is an arithmetic number, because the mean of its divisors is an integer number (18964470).

Almost surely, 21124213420 is an apocalyptic number.

1124213420 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 1124213420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1365441840).

1124213420 is an abundant number, since it is smaller than the sum of its proper divisors (1606670260).

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

1124213420 is a wasteful number, since it uses less digits than its factorization.

1124213420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 323 counting only the distinct ones).

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

The square root of 1124213420 is about 33529.2919698582. The cubic root of 1124213420 is about 1039.7994620734.

Adding to 1124213420 its reverse (243124211), we get a palindrome (1367337631).

The spelling of 1124213420 in words is "one billion, one hundred twenty-four million, two hundred thirteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 83 110 116 121 145 166 193 220 242 290 319 332 386 415 484 580 605 638 772 830 913 965 1210 1276 1595 1660 1826 1930 2123 2407 2420 3190 3509 3652 3860 4246 4565 4814 5597 6380 7018 8492 9130 9628 10043 10615 11194 12035 14036 16019 17545 18260 20086 21230 22388 23353 24070 26477 27985 32038 35090 40172 42460 46706 48140 50215 52954 55970 61567 64076 70180 80095 93412 100430 105908 111940 116765 123134 132385 160190 176209 200860 233530 246268 264770 291247 307835 320380 352418 464551 467060 529540 582494 615670 677237 704836 881045 929102 1164988 1231340 1354474 1456235 1762090 1858204 1938299 2322755 2708948 2912470 3386185 3524180 3876598 4645510 5110061 5824940 6772370 7753196 9291020 9691495 10220122 13544740 19382990 20440244 25550305 38765980 51100610 56210671 102201220 112421342 224842684 281053355 562106710 1124213420