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2626968240 = 243351393553
BaseRepresentation
bin1001110010010100…
…0101101010110000
320210002002210222000
42130211011222300
520340000440430
61112401014000
7122045601351
oct23445055260
96702083860
102626968240
111128945136
12613924300
1332b325ca0
141acc61d28
1510595ae60
hex9c945ab0

2626968240 has 160 divisors (see below), whose sum is σ = 9744584640. Its totient is φ = 646631424.

The previous prime is 2626968209. The next prime is 2626968247. The reversal of 2626968240 is 428696262.

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

It is not an unprimeable number, because it can be changed into a prime (2626968247) 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, 18697 + ... + 74856.

It is an arithmetic number, because the mean of its divisors is an integer number (60903654).

Almost surely, 22626968240 is an apocalyptic number.

2626968240 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 2626968240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4872292320).

2626968240 is an abundant number, since it is smaller than the sum of its proper divisors (7117616400).

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

2626968240 is a wasteful number, since it uses less digits than its factorization.

2626968240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93588 (or 93576 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 2626968240 is about 51253.9582861656. The cubic root of 2626968240 is about 1379.8067782402.

The spelling of 2626968240 in words is "two billion, six hundred twenty-six million, nine hundred sixty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 27 30 36 39 40 45 48 52 54 60 65 72 78 80 90 104 108 117 120 130 135 144 156 180 195 208 216 234 240 260 270 312 351 360 390 432 468 520 540 585 624 702 720 780 936 1040 1080 1170 1404 1560 1755 1872 2160 2340 2808 3120 3510 4680 5616 7020 9360 14040 28080 93553 187106 280659 374212 467765 561318 748424 841977 935530 1122636 1216189 1403295 1496848 1683954 1871060 2245272 2432378 2525931 2806590 3367908 3648567 3742120 4209885 4490544 4864756 5051862 5613180 6080945 6735816 7297134 7484240 8419770 9729512 10103724 10945701 11226360 12161890 12629655 13471632 14594268 16839540 18242835 19459024 20207448 21891402 22452720 24323780 25259310 29188536 32837103 33679080 36485670 40414896 43782804 48647560 50518620 54728505 58377072 65674206 67358160 72971340 87565608 97295120 101037240 109457010 131348412 145942680 164185515 175131216 202074480 218914020 262696824 291885360 328371030 437828040 525393648 656742060 875656080 1313484120 2626968240