[go: up one dir, main page]

Search a number
-
+
3007012740 = 2235892292459
BaseRepresentation
bin1011001100111011…
…0101111110000100
321202120020002000020
42303032311332010
522124243401430
61214214415140
7134342120664
oct26316657604
97676202006
103007012740
1113034201a6
126bb0614b0
1338bc9b4a4
142075101a4
15128ecbb10
hexb33b5f84

3007012740 has 96 divisors (see below), whose sum is σ = 8554896000. Its totient is φ = 789076992.

The previous prime is 3007012711. The next prime is 3007012759. The reversal of 3007012740 is 472107003.

It is a self number, because there is not a number n which added to its sum of digits gives 3007012740.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1221631 + ... + 1224089.

It is an arithmetic number, because the mean of its divisors is an integer number (89113500).

Almost surely, 23007012740 is an apocalyptic number.

3007012740 is a gapful number since it is divisible by the number (30) 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 3007012740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4277448000).

3007012740 is an abundant number, since it is smaller than the sum of its proper divisors (5547883260).

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

3007012740 is a wasteful number, since it uses less digits than its factorization.

3007012740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2789 (or 2787 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 3007012740 is about 54836.2356476081. The cubic root of 3007012740 is about 1443.3724870423.

Adding to 3007012740 its reverse (472107003), we get a palindrome (3479119743).

The spelling of 3007012740 in words is "three billion, seven million, twelve thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 89 178 229 267 356 445 458 534 687 890 916 1068 1145 1335 1374 1780 2290 2459 2670 2748 3435 4580 4918 5340 6870 7377 9836 12295 13740 14754 20381 24590 29508 36885 40762 49180 61143 73770 81524 101905 122286 147540 203810 218851 244572 305715 407620 437702 563111 611430 656553 875404 1094255 1126222 1222860 1313106 1689333 2188510 2252444 2626212 2815555 3282765 3378666 4377020 5631110 6565530 6757332 8446665 11262220 13131060 16893330 33786660 50116879 100233758 150350637 200467516 250584395 300701274 501168790 601402548 751753185 1002337580 1503506370 3007012740