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2030388800 = 265211115363
BaseRepresentation
bin111100100000101…
…0100011001000000
312020111112102211012
41321001110121000
513124234420200
6533250140052
7101213006606
oct17101243100
95214472735
102030388800
11952113180
12487b81628
132648572bb
14153929876
15bd3b6a35
hex79054640

2030388800 has 84 divisors (see below), whose sum is σ = 5450256816. Its totient is φ = 738316800.

The previous prime is 2030388739. The next prime is 2030388809. The reversal of 2030388800 is 88830302.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (2030388809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40082 + ... + 75281.

Almost surely, 22030388800 is an apocalyptic number.

2030388800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2030388800 is an abundant number, since it is smaller than the sum of its proper divisors (3419868016).

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

2030388800 is a wasteful number, since it uses less digits than its factorization.

2030388800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115396 (or 115381 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 2030388800 is about 45059.8357742236. The cubic root of 2030388800 is about 1266.2702483714.

The spelling of 2030388800 in words is "two billion, thirty million, three hundred eighty-eight thousand, eight hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 160 176 200 220 275 320 352 400 440 550 704 800 880 1100 1600 1760 2200 3520 4400 8800 17600 115363 230726 461452 576815 922904 1153630 1268993 1845808 2307260 2537986 2884075 3691616 4614520 5075972 5768150 6344965 7383232 9229040 10151944 11536300 12689930 18458080 20303888 23072600 25379860 31724825 36916160 40607776 46145200 50759720 63449650 81215552 92290400 101519440 126899300 184580800 203038880 253798600 406077760 507597200 1015194400 2030388800