Search a number
-
+
13276254240 = 253353073207
BaseRepresentation
bin11000101110101001…
…11001000000100000
31021021020121121001000
430113110321000200
5204142210113430
610033220112000
7646666204404
oct142724710040
937236547030
1013276254240
1156a3110347
1226a6235600
1313376a7452
148dd31b104
1552a81ee60
hex317539020

13276254240 has 96 divisors (see below), whose sum is σ = 46466904960. Its totient is φ = 3540333312.

The previous prime is 13276254209. The next prime is 13276254247. The reversal of 13276254240 is 4245267231.

13276254240 is a `hidden beast` number, since 1 + 3 + 2 + 7 + 625 + 4 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13276254195 and 13276254204.

It is not an unprimeable number, because it can be changed into a prime (13276254247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1532284 + ... + 1540923.

It is an arithmetic number, because the mean of its divisors is an integer number (484030260).

Almost surely, 213276254240 is an apocalyptic number.

13276254240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13276254240 is an abundant number, since it is smaller than the sum of its proper divisors (33190650720).

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

13276254240 is a wasteful number, since it uses less digits than its factorization.

13276254240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3073231 (or 3073217 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 13276254240 in words is "thirteen billion, two hundred seventy-six million, two hundred fifty-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 3073207 6146414 9219621 12292828 15366035 18439242 24585656 27658863 30732070 36878484 46098105 49171312 55317726 61464140 73756968 82976589 92196210 98342624 110635452 122928280 138294315 147513936 165953178 184392420 221270904 245856560 276588630 295027872 331906356 368784840 414882945 442541808 491713120 553177260 663812712 737569680 829765890 885083616 1106354520 1327625424 1475139360 1659531780 2212709040 2655250848 3319063560 4425418080 6638127120 13276254240