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928200020 = 2251115127941
BaseRepresentation
bin110111010100110…
…011010101010100
32101200120110001112
4313110303111110
53400104400040
6232034314152
732000366336
oct6724632524
92350513045
10928200020
11436a43460
1221aa28958
1311a3bb2a7
148b3bb456
155674c365
hex37533554

928200020 has 48 divisors (see below), whose sum is σ = 2140580736. Its totient is φ = 335280000.

The previous prime is 928200011. The next prime is 928200023. The reversal of 928200020 is 20002829.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (928200023) 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, 19250 + ... + 47190.

It is an arithmetic number, because the mean of its divisors is an integer number (44595432).

Almost surely, 2928200020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 928200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1070290368).

928200020 is an abundant number, since it is smaller than the sum of its proper divisors (1212380716).

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

928200020 is a wasteful number, since it uses less digits than its factorization.

928200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28112 (or 28110 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 928200020 is about 30466.3752356594. The cubic root of 928200020 is about 975.4698660117.

Adding to 928200020 its reverse (20002829), we get a palindrome (948202849).

The spelling of 928200020 in words is "nine hundred twenty-eight million, two hundred thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 151 220 302 604 755 1510 1661 3020 3322 6644 8305 16610 27941 33220 55882 111764 139705 279410 307351 558820 614702 1229404 1536755 3073510 4219091 6147020 8438182 16876364 21095455 42190910 46410001 84381820 92820002 185640004 232050005 464100010 928200020