Search a number
-
+
5067006240 = 253527138953
BaseRepresentation
bin1001011100000010…
…00110000100100000
3111002010110120211210
410232001012010200
540334123144430
62154443310120
7236364561642
oct45601060440
914063416753
105067006240
11217021386a
12b94b1b340
136299bc85a
14360d44892
151e9c902b0
hex12e046120

5067006240 has 96 divisors (see below), whose sum is σ = 16020377856. Its totient is φ = 1346181120.

The previous prime is 5067006211. The next prime is 5067006271. The reversal of 5067006240 is 426007605.

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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 5067006198 and 5067006207.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110604 + ... + 149556.

It is an arithmetic number, because the mean of its divisors is an integer number (166878936).

Almost surely, 25067006240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5067006240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8010188928).

5067006240 is an abundant number, since it is smaller than the sum of its proper divisors (10953371616).

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

5067006240 is a wasteful number, since it uses less digits than its factorization.

5067006240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39242 (or 39234 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 5067006240 is about 71182.9069369887. The cubic root of 5067006240 is about 1717.5806801108.

The spelling of 5067006240 in words is "five billion, sixty-seven million, six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 271 480 542 813 1084 1355 1626 2168 2710 3252 4065 4336 5420 6504 8130 8672 10840 13008 16260 21680 26016 32520 38953 43360 65040 77906 116859 130080 155812 194765 233718 311624 389530 467436 584295 623248 779060 934872 1168590 1246496 1558120 1869744 2337180 3116240 3739488 4674360 6232480 9348720 10556263 18697440 21112526 31668789 42225052 52781315 63337578 84450104 105562630 126675156 158343945 168900208 211125260 253350312 316687890 337800416 422250520 506700624 633375780 844501040 1013401248 1266751560 1689002080 2533503120 5067006240