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1125414420 = 2235136072377
BaseRepresentation
bin100001100010100…
…0111011000010100
32220102122222100120
41003011013120110
54301101230140
6303401311540
736613602414
oct10305073024
92812588316
101125414420
115282a3569
12274a955b0
1314c20b6c0
14a9676644
1568c061d0
hex43147614

1125414420 has 96 divisors (see below), whose sum is σ = 3400578048. Its totient is φ = 276452352.

The previous prime is 1125414419. The next prime is 1125414431. The reversal of 1125414420 is 244145211.

It is a super-3 number, since 3×11254144203 (a number of 28 digits) contains 333 as substring.

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, 472272 + ... + 474648.

It is an arithmetic number, because the mean of its divisors is an integer number (35422688).

Almost surely, 21125414420 is an apocalyptic number.

1125414420 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 1125414420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1700289024).

1125414420 is an abundant number, since it is smaller than the sum of its proper divisors (2275163628).

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

1125414420 is a wasteful number, since it uses less digits than its factorization.

1125414420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3009 (or 3007 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 1125414420 is about 33547.1969022749. The cubic root of 1125414420 is about 1040.1696037497.

Adding to 1125414420 its reverse (244145211), we get a palindrome (1369559631).

The spelling of 1125414420 in words is "one billion, one hundred twenty-five million, four hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 607 780 1214 1821 2377 2428 3035 3642 4754 6070 7131 7284 7891 9105 9508 11885 12140 14262 15782 18210 23673 23770 28524 30901 31564 35655 36420 39455 47346 47540 61802 71310 78910 92703 94692 118365 123604 142620 154505 157820 185406 236730 309010 370812 463515 473460 618020 927030 1442839 1854060 2885678 4328517 5771356 7214195 8657034 14428390 17314068 18756907 21642585 28856780 37513814 43285170 56270721 75027628 86570340 93784535 112541442 187569070 225082884 281353605 375138140 562707210 1125414420