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2425640140 = 2257211832711
BaseRepresentation
bin1001000010010100…
…0101010011001100
320021001021021201201
42100211011103030
514431430441030
61040405515244
7114052413100
oct22045052314
96231237651
102425640140
111035235380
12578412b24
132c86c5331
14190215900
15e2e3d2ca
hex909454cc

2425640140 has 144 divisors (see below), whose sum is σ = 6544468224. Its totient is φ = 746659200.

The previous prime is 2425640089. The next prime is 2425640143. The reversal of 2425640140 is 410465242.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 2425640099 and 2425640108.

It is not an unprimeable number, because it can be changed into a prime (2425640143) 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, 893385 + ... + 896095.

It is an arithmetic number, because the mean of its divisors is an integer number (45447696).

Almost surely, 22425640140 is an apocalyptic number.

2425640140 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 2425640140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3272234112).

2425640140 is an abundant number, since it is smaller than the sum of its proper divisors (4118828084).

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

2425640140 is a wasteful number, since it uses less digits than its factorization.

2425640140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2828 (or 2819 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 2425640140 is about 49250.7882170428. The cubic root of 2425640140 is about 1343.6168974634.

The spelling of 2425640140 in words is "two billion, four hundred twenty-five million, six hundred forty thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 49 55 70 77 83 98 110 140 154 166 196 220 245 308 332 385 415 490 539 581 770 830 913 980 1078 1162 1540 1660 1826 2156 2324 2695 2711 2905 3652 4067 4565 5390 5422 5810 6391 8134 9130 10780 10844 11620 12782 13555 16268 18260 18977 20335 25564 27110 29821 31955 37954 40670 44737 54220 59642 63910 75908 81340 89474 94885 119284 127820 132839 149105 178948 189770 208747 223685 225013 265678 298210 379540 417494 447370 450026 531356 596420 664195 834988 894740 900052 1043735 1125065 1328390 1461229 1575091 2087470 2250130 2475143 2656780 2922458 3150182 4174940 4500260 4950286 5844916 6300364 7306145 7875455 9900572 11025637 12375715 14612290 15750910 17326001 22051274 24751430 29224580 31501820 34652002 44102548 49502860 55128185 69304004 86630005 110256370 121282007 173260010 220512740 242564014 346520020 485128028 606410035 1212820070 2425640140