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2431040120 = 2351719832267
BaseRepresentation
bin1001000011100110…
…1011101001111000
320021102102122002222
42100321223221320
514434321240440
61041121343212
7114146333345
oct22071535170
96242378088
102431040120
111038293473
1257a197b08
132c98661a2
14190c1d7cc
15e36582b5
hex90e6ba78

2431040120 has 128 divisors (see below), whose sum is σ = 6172588800. Its totient is φ = 856221696.

The previous prime is 2431040113. The next prime is 2431040123. The reversal of 2431040120 is 210401342.

2431040120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×24310401202 = 11819912130099228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2431040123) 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, 1071227 + ... + 1073493.

It is an arithmetic number, because the mean of its divisors is an integer number (48223350).

Almost surely, 22431040120 is an apocalyptic number.

2431040120 is a gapful number since it is divisible by the number (20) 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 2431040120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3086294400).

2431040120 is an abundant number, since it is smaller than the sum of its proper divisors (3741548680).

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

2431040120 is a wasteful number, since it uses less digits than its factorization.

2431040120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2397 (or 2393 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 2431040120 is about 49305.5789946736. The cubic root of 2431040120 is about 1344.6132154821.

Adding to 2431040120 its reverse (210401342), we get a palindrome (2641441462).

The spelling of 2431040120 in words is "two billion, four hundred thirty-one million, forty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 19 20 34 38 40 68 76 83 85 95 136 152 166 170 190 323 332 340 380 415 646 664 680 760 830 1292 1411 1577 1615 1660 2267 2584 2822 3154 3230 3320 4534 5644 6308 6460 7055 7885 9068 11288 11335 12616 12920 14110 15770 18136 22670 26809 28220 31540 38539 43073 45340 53618 56440 63080 77078 86146 90680 107236 134045 154156 172292 188161 192695 214472 215365 268090 308312 344584 376322 385390 430730 536180 732241 752644 770780 861460 940805 1072360 1464482 1505288 1541560 1722920 1881610 2928964 3198737 3575059 3661205 3763220 5857928 6397474 7150118 7322410 7526440 12794948 14300236 14644820 15993685 17875295 25589896 28600472 29289640 31987370 35750590 60776003 63974740 71501180 121552006 127949480 143002360 243104012 303880015 486208024 607760030 1215520060 2431040120