Search a number
-
+
3000660423060 = 2235711024368767
BaseRepresentation
bin101011101010100101010…
…011000111000110010100
3101121212020011222020120110
4223222211103013012110
5343130323032014220
610214252342403020
7426535106521536
oct53524523070624
911555204866513
103000660423060
11a57633644363
1240566b130470
13189c655c3191
14a53388cb856
15530c26e9be0
hex2baa54c7194

3000660423060 has 96 divisors (see below), whose sum is σ = 8521140805632. Its totient is φ = 788817536640.

The previous prime is 3000660423049. The next prime is 3000660423071. The reversal of 3000660423060 is 603240660003.

It is an interprime number because it is at equal distance from previous prime (3000660423049) and next prime (3000660423071).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 43600797 + ... + 43669563.

It is an arithmetic number, because the mean of its divisors is an integer number (88761883392).

Almost surely, 23000660423060 is an apocalyptic number.

3000660423060 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 3000660423060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4260570402816).

3000660423060 is an abundant number, since it is smaller than the sum of its proper divisors (5520480382572).

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

3000660423060 is a wasteful number, since it uses less digits than its factorization.

3000660423060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79093 (or 79091 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 30.

The spelling of 3000660423060 in words is "three trillion, six hundred sixty million, four hundred twenty-three thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 142 213 284 355 426 710 852 1065 1420 2130 4260 10243 20486 30729 40972 51215 61458 68767 102430 122916 137534 153645 204860 206301 275068 307290 343835 412602 614580 687670 727253 825204 1031505 1375340 1454506 2063010 2181759 2909012 3636265 4126020 4363518 4882457 7272530 8727036 9764914 10908795 14545060 14647371 19529828 21817590 24412285 29294742 43635180 48824570 58589484 73236855 97649140 146473710 292947420 704380381 1408760762 2113141143 2817521524 3521901905 4226282286 7043803810 8452564572 10565705715 14087607620 21131411430 42262822860 50011007051 100022014102 150033021153 200044028204 250055035255 300066042306 500110070510 600132084612 750165105765 1000220141020 1500330211530 3000660423060