Search a number
-
+
6066750240 = 2532528314887
BaseRepresentation
bin1011010011001101…
…10100001100100000
3120122210122211210100
411221212310030200
544411042001430
62441555302400
7303224345325
oct55146641440
916583584710
106066750240
112633582281
1212138aaa00
13758b6a355
14417a26b4c
15257920960
hex1699b4320

6066750240 has 144 divisors (see below), whose sum is σ = 20777335488. Its totient is φ = 1611975168.

The previous prime is 6066750229. The next prime is 6066750241. The reversal of 6066750240 is 420576606.

6066750240 is a `hidden beast` number, since 606 + 6 + 7 + 5 + 0 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 6066750195 and 6066750204.

It is not an unprimeable number, because it can be changed into a prime (6066750241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 400077 + ... + 414963.

It is an arithmetic number, because the mean of its divisors is an integer number (144287052).

Almost surely, 26066750240 is an apocalyptic number.

6066750240 is a gapful number since it is divisible by the number (60) 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 6066750240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10388667744).

6066750240 is an abundant number, since it is smaller than the sum of its proper divisors (14710585248).

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

6066750240 is a wasteful number, since it uses less digits than its factorization.

6066750240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15191 (or 15180 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 6066750240 is about 77889.3461264119. The cubic root of 6066750240 is about 1823.8342704916.

The spelling of 6066750240 in words is "six billion, sixty-six million, seven hundred fifty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 283 288 360 480 566 720 849 1132 1415 1440 1698 2264 2547 2830 3396 4245 4528 5094 5660 6792 8490 9056 10188 11320 12735 13584 14887 16980 20376 22640 25470 27168 29774 33960 40752 44661 45280 50940 59548 67920 74435 81504 89322 101880 119096 133983 135840 148870 178644 203760 223305 238192 267966 297740 357288 407520 446610 476384 535932 595480 669915 714576 893220 1071864 1190960 1339830 1429152 1786440 2143728 2381920 2679660 3572880 4213021 4287456 5359320 7145760 8426042 10718640 12639063 16852084 21065105 21437280 25278126 33704168 37917189 42130210 50556252 63195315 67408336 75834378 84260420 101112504 126390630 134816672 151668756 168520840 189585945 202225008 252781260 303337512 337041680 379171890 404450016 505562520 606675024 674083360 758343780 1011125040 1213350048 1516687560 2022250080 3033375120 6066750240