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3002001420 = 2235115977093
BaseRepresentation
bin1011001011101110…
…1110100000001100
321202012210110202210
42302323232200030
522122003021140
61213515150420
7134251406505
oct26273564014
97665713683
103002001420
111300608110
126b9445410
1338ac35502
142069a7bac
1512883bd80
hexb2eee80c

3002001420 has 96 divisors (see below), whose sum is σ = 9325290240. Its totient is φ = 715413760.

The previous prime is 3002001413. The next prime is 3002001433. The reversal of 3002001420 is 241002003.

3002001420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 3002001396 and 3002001405.

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, 394 + ... + 77486.

It is an arithmetic number, because the mean of its divisors is an integer number (97138440).

Almost surely, 23002001420 is an apocalyptic number.

3002001420 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 3002001420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4662645120).

3002001420 is an abundant number, since it is smaller than the sum of its proper divisors (6323288820).

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

3002001420 is a wasteful number, since it uses less digits than its factorization.

3002001420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77175 (or 77173 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 3002001420 is about 54790.5230856578. The cubic root of 3002001420 is about 1442.5702264699.

Adding to 3002001420 its reverse (241002003), we get a palindrome (3243003423).

The spelling of 3002001420 in words is "three billion, two million, one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 59 60 66 110 118 132 165 177 220 236 295 330 354 590 649 660 708 885 1180 1298 1770 1947 2596 3245 3540 3894 6490 7788 9735 12980 19470 38940 77093 154186 231279 308372 385465 462558 770930 848023 925116 1156395 1541860 1696046 2312790 2544069 3392092 4240115 4548487 4625580 5088138 8480230 9096974 10176276 12720345 13645461 16960460 18193948 22742435 25440690 27290922 45484870 50033357 50881380 54581844 68227305 90969740 100066714 136454610 150100071 200133428 250166785 272909220 300200142 500333570 600400284 750500355 1000667140 1501000710 3002001420