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3005262420 = 2235401124907
BaseRepresentation
bin1011001100100000…
…1010101001010100
321202102221011000120
42303020022221110
522123321344140
61214113111540
7134321211006
oct26310125124
97672834016
103005262420
111302435156
126ba5585b0
1338b8078b4
142071b6376
15128c831d0
hexb320aa54

3005262420 has 48 divisors (see below), whose sum is σ = 8435786688. Its totient is φ = 799398400.

The previous prime is 3005262401. The next prime is 3005262437. The reversal of 3005262420 is 242625003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38394 + ... + 86513.

It is an arithmetic number, because the mean of its divisors is an integer number (175745556).

Almost surely, 23005262420 is an apocalyptic number.

3005262420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3005262420 is an abundant number, since it is smaller than the sum of its proper divisors (5430524268).

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

3005262420 is a wasteful number, since it uses less digits than its factorization.

3005262420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125320 (or 125318 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 3005262420 is about 54820.2738044968. The cubic root of 3005262420 is about 1443.0923802509.

Adding to 3005262420 its reverse (242625003), we get a palindrome (3247887423).

The spelling of 3005262420 in words is "three billion, five million, two hundred sixty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 401 802 1203 1604 2005 2406 4010 4812 6015 8020 12030 24060 124907 249814 374721 499628 624535 749442 1249070 1498884 1873605 2498140 3747210 7494420 50087707 100175414 150263121 200350828 250438535 300526242 500877070 601052484 751315605 1001754140 1502631210 3005262420