Search a number
-
+
3005235480 = 2335133162143
BaseRepresentation
bin1011001100100000…
…0100000100011000
321202102212210001210
42303020010010120
522123320013410
61214112343120
7134321036322
oct26310040430
97672783053
103005235480
111302416995
126ba544aa0
1338b7c8560
142071aa612
15128c7a220
hexb3204118

3005235480 has 128 divisors (see below), whose sum is σ = 10022584320. Its totient is φ = 715875840.

The previous prime is 3005235433. The next prime is 3005235481. The reversal of 3005235480 is 845325003.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3005235481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17289 + ... + 79431.

It is an arithmetic number, because the mean of its divisors is an integer number (78301440).

Almost surely, 23005235480 is an apocalyptic number.

3005235480 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 3005235480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5011292160).

3005235480 is an abundant number, since it is smaller than the sum of its proper divisors (7017348840).

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

3005235480 is a wasteful number, since it uses less digits than its factorization.

3005235480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62201 (or 62197 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 3005235480 is about 54820.0280919301. The cubic root of 3005235480 is about 1443.0880681455.

The spelling of 3005235480 in words is "three billion, five million, two hundred thirty-five thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 31 39 40 52 60 62 65 78 93 104 120 124 130 155 156 186 195 248 260 310 312 372 390 403 465 520 620 744 780 806 930 1209 1240 1560 1612 1860 2015 2418 3224 3720 4030 4836 6045 8060 9672 12090 16120 24180 48360 62143 124286 186429 248572 310715 372858 497144 621430 745716 807859 932145 1242860 1491432 1615718 1864290 1926433 2423577 2485720 3231436 3728580 3852866 4039295 4847154 5779299 6462872 7457160 7705732 8078590 9632165 9694308 11558598 12117885 15411464 16157180 19264330 19388616 23117196 24235770 25043629 28896495 32314360 38528660 46234392 48471540 50087258 57792990 75130887 77057320 96943080 100174516 115585980 125218145 150261774 200349032 231171960 250436290 300523548 375654435 500872580 601047096 751308870 1001745160 1502617740 3005235480