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2740079925 = 3252113171503
BaseRepresentation
bin1010001101010010…
…0100110100110101
321001221221111000200
42203110210310311
521102430024200
61131521231113
7124621203132
oct24324446465
97057844020
102740079925
111186781670
12645792499
133488aa78b
141bdca7589
15110850800
hexa3524d35

2740079925 has 144 divisors (see below), whose sum is σ = 5615640576. Its totient is φ = 1265040000.

The previous prime is 2740079891. The next prime is 2740079929. The reversal of 2740079925 is 5299700472.

It is not a de Polignac number, because 2740079925 - 212 = 2740075829 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2740079929) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5447224 + ... + 5447726.

It is an arithmetic number, because the mean of its divisors is an integer number (38997504).

Almost surely, 22740079925 is an apocalyptic number.

2740079925 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2740079925 is an abundant number, since it is smaller than the sum of its proper divisors (2875560651).

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

2740079925 is a wasteful number, since it uses less digits than its factorization.

2740079925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 2740079925 is about 52345.7727519615. The cubic root of 2740079925 is about 1399.3330028536. Note that the first 3 decimals are identical.

The spelling of 2740079925 in words is "two billion, seven hundred forty million, seventy-nine thousand, nine hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 31 33 45 55 71 75 93 99 155 165 213 225 275 279 341 355 465 495 503 639 775 781 825 1023 1065 1395 1509 1705 1775 2201 2325 2343 2475 2515 3069 3195 3905 4527 5115 5325 5533 6603 6975 7029 7545 8525 11005 11715 12575 15345 15593 15975 16599 19525 19809 22635 24211 25575 27665 33015 35145 35713 37725 46779 49797 55025 58575 72633 76725 77965 82995 99045 107139 113175 121055 138325 140337 165075 171523 175725 178565 217899 233895 248985 321417 363165 389825 392843 414975 495225 514569 535695 605275 701685 857615 892825 1089495 1107103 1169475 1178529 1244925 1543707 1607085 1815825 1964215 2572845 2678475 3321309 3508425 3535587 4288075 5447475 5535515 5892645 7718535 8035425 9821075 9963927 12178133 12864225 16606545 17677935 27677575 29463225 36534399 38592675 49819635 60890665 83032725 88389675 109603197 182671995 249098175 304453325 548015985 913359975 2740079925