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1124004420 = 2232571181097
BaseRepresentation
bin100001011111110…
…1111001001000100
32220100000100012100
41002333233021010
54300221120140
6303311152100
736565610550
oct10277571104
92810010170
101124004420
11527520180
12274515630
1314bb36996
14a93ca860
1568a28530
hex42fef244

1124004420 has 144 divisors (see below), whose sum is σ = 4250832768. Its totient is φ = 233556480.

The previous prime is 1124004383. The next prime is 1124004421. The reversal of 1124004420 is 244004211.

1124004420 is a `hidden beast` number, since 1 + 1 + 240 + 0 + 4 + 420 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1124004393 and 1124004402.

It is not an unprimeable number, because it can be changed into a prime (1124004421) 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, 26689 + ... + 54408.

It is an arithmetic number, because the mean of its divisors is an integer number (29519672).

Almost surely, 21124004420 is an apocalyptic number.

1124004420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1124004420 is an abundant number, since it is smaller than the sum of its proper divisors (3126828348).

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

1124004420 is a wasteful number, since it uses less digits than its factorization.

1124004420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81130 (or 81125 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1124004420 is about 33526.1751471891. The cubic root of 1124004420 is about 1039.7350224833.

Adding to 1124004420 its reverse (244004211), we get a palindrome (1368008631).

The spelling of 1124004420 in words is "one billion, one hundred twenty-four million, four thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 11 12 14 15 18 20 21 22 28 30 33 35 36 42 44 45 55 60 63 66 70 77 84 90 99 105 110 126 132 140 154 165 180 198 210 220 231 252 308 315 330 385 396 420 462 495 630 660 693 770 924 990 1155 1260 1386 1540 1980 2310 2772 3465 4620 6930 13860 81097 162194 243291 324388 405485 486582 567679 729873 810970 892067 973164 1135358 1216455 1459746 1621940 1703037 1784134 2270716 2432910 2676201 2838395 2919492 3406074 3568268 3649365 4460335 4865820 5109111 5352402 5676790 6244469 6812148 7298730 8028603 8515185 8920670 10218222 10704804 11353580 12488938 13381005 14597460 16057206 17030370 17841340 18733407 20436444 24977876 25545555 26762010 31222345 32114412 34060740 37466814 40143015 51091110 53524020 56200221 62444690 74933628 80286030 93667035 102182220 112400442 124889380 160572060 187334070 224800884 281001105 374668140 562002210 1124004420