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930110020 = 225726325261
BaseRepresentation
bin110111011100000…
…101101001000100
32101211011111002021
4313130011221010
53401102010040
6232143252524
732022543010
oct6734055104
92354144067
10930110020
11438028474
1221b5aa144
1311a909778
148b757540
15569c824a
hex37705a44

930110020 has 48 divisors (see below), whose sum is σ = 2240840448. Its totient is φ = 317669760.

The previous prime is 930109993. The next prime is 930110023. The reversal of 930110020 is 20011039.

It is a junction number, because it is equal to n+sod(n) for n = 930109976 and 930110003.

It is not an unprimeable number, because it can be changed into a prime (930110023) 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, 24190 + ... + 49450.

It is an arithmetic number, because the mean of its divisors is an integer number (46684176).

Almost surely, 2930110020 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 930110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1120420224).

930110020 is an abundant number, since it is smaller than the sum of its proper divisors (1310730428).

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

930110020 is a wasteful number, since it uses less digits than its factorization.

930110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25540 (or 25538 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

The square root of 930110020 is about 30497.7051595690. The cubic root of 930110020 is about 976.1384973776.

Adding to 930110020 its reverse (20011039), we get a palindrome (950121059).

It can be divided in two parts, 9301 and 10020, that added together give a square (19321 = 1392).

The spelling of 930110020 in words is "nine hundred thirty million, one hundred ten thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 263 526 1052 1315 1841 2630 3682 5260 7364 9205 18410 25261 36820 50522 101044 126305 176827 252610 353654 505220 707308 884135 1768270 3536540 6643643 13287286 26574572 33218215 46505501 66436430 93011002 132872860 186022004 232527505 465055010 930110020