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3005106420 = 2235421118967
BaseRepresentation
bin1011001100011110…
…0100100011110100
321202102122020000210
42303013210203310
522123301401140
61214105505420
7134316661131
oct26307444364
97672566023
103005106420
111302338a28
126ba4a2270
1338b7818a4
14207175588
15128c51d80
hexb31e48f4

3005106420 has 48 divisors (see below), whose sum is σ = 8434355328. Its totient is φ = 799451520.

The previous prime is 3005106407. The next prime is 3005106437. The reversal of 3005106420 is 246015003.

It is a happy number.

3005106420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34224 + ... + 84743.

It is an arithmetic number, because the mean of its divisors is an integer number (175715736).

Almost surely, 23005106420 is an apocalyptic number.

3005106420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3005106420 is an abundant number, since it is smaller than the sum of its proper divisors (5429248908).

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

3005106420 is a wasteful number, since it uses less digits than its factorization.

3005106420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119400 (or 119398 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 3005106420 is about 54818.8509547583. The cubic root of 3005106420 is about 1443.0674100181.

The spelling of 3005106420 in words is "three billion, five million, one hundred six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 421 842 1263 1684 2105 2526 4210 5052 6315 8420 12630 25260 118967 237934 356901 475868 594835 713802 1189670 1427604 1784505 2379340 3569010 7138020 50085107 100170214 150255321 200340428 250425535 300510642 500851070 601021284 751276605 1001702140 1502553210 3005106420