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1030249800 = 233352190787
BaseRepresentation
bin111101011010000…
…101110101001000
32122210121010001000
4331122011311020
54102220443200
6250121455000
734346656506
oct7532056510
92583533030
101030249800
11489604a18
12249041460
1313559ba88
149ab83676
15606a9300
hex3d685d48

1030249800 has 96 divisors (see below), whose sum is σ = 3548656800. Its totient is φ = 274731840.

The previous prime is 1030249789. The next prime is 1030249811. The reversal of 1030249800 is 89420301.

1030249800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1030249789) and next prime (1030249811).

It is a super-3 number, since 3×10302498003 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89994 + ... + 100793.

It is an arithmetic number, because the mean of its divisors is an integer number (36965175).

Almost surely, 21030249800 is an apocalyptic number.

1030249800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1030249800 is an abundant number, since it is smaller than the sum of its proper divisors (2518407000).

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

1030249800 is a wasteful number, since it uses less digits than its factorization.

1030249800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190812 (or 190797 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1030249800 is about 32097.5045759012. The cubic root of 1030249800 is about 1009.9832693369.

The spelling of 1030249800 in words is "one billion, thirty million, two hundred forty-nine thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 90 100 108 120 135 150 180 200 216 225 270 300 360 450 540 600 675 900 1080 1350 1800 2700 5400 190787 381574 572361 763148 953935 1144722 1526296 1717083 1907870 2289444 2861805 3434166 3815740 4578888 4769675 5151249 5723610 6868332 7631480 8585415 9539350 10302498 11447220 13736664 14309025 17170830 19078700 20604996 22894440 25756245 28618050 34341660 38157400 41209992 42927075 51512490 57236100 68683320 85854150 103024980 114472200 128781225 171708300 206049960 257562450 343416600 515124900 1030249800