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1028514060 = 2232578091009
BaseRepresentation
bin111101010011011…
…110000100001100
32122200022221001100
4331103132010030
54101244422220
6250020343100
734326140160
oct7523360414
92580287040
101028514060
11488629922
12248544a90
13135111a02
149a850ca0
1560464d90
hex3d4de10c

1028514060 has 144 divisors (see below), whose sum is σ = 3573460800. Its totient is φ = 234565632.

The previous prime is 1028513999. The next prime is 1028514077. The reversal of 1028514060 is 604158201.

1028514060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1018836 + ... + 1019844.

It is an arithmetic number, because the mean of its divisors is an integer number (24815700).

Almost surely, 21028514060 is an apocalyptic number.

1028514060 is a gapful number since it is divisible by the number (10) 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 1028514060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1786730400).

1028514060 is an abundant number, since it is smaller than the sum of its proper divisors (2544946740).

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

1028514060 is a wasteful number, since it uses less digits than its factorization.

1028514060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1840 (or 1835 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1028514060 is about 32070.4546272734. The cubic root of 1028514060 is about 1009.4157520250.

The spelling of 1028514060 in words is "one billion, twenty-eight million, five hundred fourteen thousand, sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 809 1009 1260 1618 2018 2427 3027 3236 4036 4045 4854 5045 5663 6054 7063 7281 8090 9081 9708 10090 11326 12108 12135 14126 14562 15135 16180 16989 18162 20180 21189 22652 24270 28252 28315 29124 30270 33978 35315 36324 36405 42378 45405 48540 50967 56630 60540 63567 67956 70630 72810 84756 84945 90810 101934 105945 113260 127134 141260 145620 169890 181620 203868 211890 254268 254835 317835 339780 423780 509670 635670 816281 1019340 1271340 1632562 2448843 3265124 4081405 4897686 5713967 7346529 8162810 9795372 11427934 12244215 14693058 16325620 17141901 22855868 24488430 28569835 29386116 34283802 36732645 48976860 51425703 57139670 68567604 73465290 85709505 102851406 114279340 146930580 171419010 205702812 257128515 342838020 514257030 1028514060