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3006920520 = 2332515753201
BaseRepresentation
bin1011001100111001…
…1111011101001000
321202120001101111200
42303032133131020
522124232424040
61214212424200
7134341255062
oct26316373510
97676041450
103006920520
11130336798a
126bb018060
1338bc68516
142074c8732
15128eae630
hexb339f748

3006920520 has 96 divisors (see below), whose sum is σ = 9834921720. Its totient is φ = 796723200.

The previous prime is 3006920491. The next prime is 3006920569. The reversal of 3006920520 is 250296003.

It can be written as a sum of positive squares in 4 ways, for example, as 2510611236 + 496309284 = 50106^2 + 22278^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29920 + ... + 83120.

Almost surely, 23006920520 is an apocalyptic number.

3006920520 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 3006920520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4917460860).

3006920520 is an abundant number, since it is smaller than the sum of its proper divisors (6828001200).

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

3006920520 is a wasteful number, since it uses less digits than its factorization.

3006920520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53375 (or 53368 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 3006920520 is about 54835.3947738137. The cubic root of 3006920520 is about 1443.3577316264.

The spelling of 3006920520 in words is "three billion, six million, nine hundred twenty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 157 180 314 360 471 628 785 942 1256 1413 1570 1884 2355 2826 3140 3768 4710 5652 6280 7065 9420 11304 14130 18840 28260 53201 56520 106402 159603 212804 266005 319206 425608 478809 532010 638412 798015 957618 1064020 1276824 1596030 1915236 2128040 2394045 3192060 3830472 4788090 6384120 8352557 9576180 16705114 19152360 25057671 33410228 41762785 50115342 66820456 75173013 83525570 100230684 125288355 150346026 167051140 200461368 250576710 300692052 334102280 375865065 501153420 601384104 751730130 1002306840 1503460260 3006920520