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2001020028 = 223731176597
BaseRepresentation
bin111011101000101…
…0010010001111100
312011110021100102220
41313101102101330
513044230120103
6530320445340
7100405250430
oct16721222174
95143240386
102001020028
11937583a67
1247a179850
1325b743727
1414da829c0
15baa14c53
hex7745247c

2001020028 has 48 divisors (see below), whose sum is σ = 5353281024. Its totient is φ = 569874240.

The previous prime is 2001019997. The next prime is 2001020029. The reversal of 2001020028 is 8200201002.

It is a junction number, because it is equal to n+sod(n) for n = 2001019989 and 2001020016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001020029) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12175 + ... + 64422.

It is an arithmetic number, because the mean of its divisors is an integer number (111526688).

Almost surely, 22001020028 is an apocalyptic number.

2001020028 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2001020028 is an abundant number, since it is smaller than the sum of its proper divisors (3352260996).

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

2001020028 is a wasteful number, since it uses less digits than its factorization.

2001020028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76922 (or 76920 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 2001020028 is about 44732.7623560182. The cubic root of 2001020028 is about 1260.1352059496.

The spelling of 2001020028 in words is "two billion, one million, twenty thousand, twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 311 622 933 1244 1866 2177 3732 4354 6531 8708 13062 26124 76597 153194 229791 306388 459582 536179 919164 1072358 1608537 2144716 3217074 6434148 23821667 47643334 71465001 95286668 142930002 166751669 285860004 333503338 500255007 667006676 1000510014 2001020028