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1230020800 = 26527310531
BaseRepresentation
bin100100101010000…
…1010000011000000
310011201111112022221
41021110022003000
510004341131200
6322015340424
742324001321
oct11124120300
93151445287
101230020800
11581350918
122a3b21714
13167aa5a78
14b9506448
1572eba91a
hex4950a0c0

1230020800 has 84 divisors (see below), whose sum is σ = 3068371816. Its totient is φ = 485222400.

The previous prime is 1230020797. The next prime is 1230020801. The reversal of 1230020800 is 80200321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1230020801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 111535 + ... + 122065.

Almost surely, 21230020800 is an apocalyptic number.

1230020800 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 1230020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1534185908).

1230020800 is an abundant number, since it is smaller than the sum of its proper divisors (1838351016).

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

1230020800 is a wasteful number, since it uses less digits than its factorization.

1230020800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10626 (or 10611 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1230020800 is about 35071.6523705399. The cubic root of 1230020800 is about 1071.4473092173.

The spelling of 1230020800 in words is "one billion, two hundred thirty million, twenty thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 73 80 100 146 160 200 292 320 365 400 584 730 800 1168 1460 1600 1825 2336 2920 3650 4672 5840 7300 10531 11680 14600 21062 23360 29200 42124 52655 58400 84248 105310 116800 168496 210620 263275 336992 421240 526550 673984 768763 842480 1053100 1537526 1684960 2106200 3075052 3369920 3843815 4212400 6150104 7687630 8424800 12300208 15375260 16849600 19219075 24600416 30750520 38438150 49200832 61501040 76876300 123002080 153752600 246004160 307505200 615010400 1230020800