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2030102800 = 2452112232069
BaseRepresentation
bin111100100000000…
…1110100100010000
312020110222220111121
41321000032210100
513124201242200
6533240052024
7101210406025
oct17100164420
95213886447
102030102800
11951a38310
12487a64014
1326478707b
1415389354c
15bd35be1a
hex7900e910

2030102800 has 120 divisors (see below), whose sum is σ = 5347157760. Its totient is φ = 734553600.

The previous prime is 2030102777. The next prime is 2030102801. The reversal of 2030102800 is 82010302.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (2030102801) 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 23 ways as a sum of consecutive naturals, for example, 980166 + ... + 982234.

It is an arithmetic number, because the mean of its divisors is an integer number (44559648).

Almost surely, 22030102800 is an apocalyptic number.

2030102800 is a gapful number since it is divisible by the number (20) 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 2030102800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2673578880).

2030102800 is an abundant number, since it is smaller than the sum of its proper divisors (3317054960).

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

2030102800 is a wasteful number, since it uses less digits than its factorization.

2030102800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2321 (or 2310 counting only the distinct ones).

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

The square root of 2030102800 is about 45056.6621045101. The cubic root of 2030102800 is about 1266.2107900883.

The spelling of 2030102800 in words is "two billion, thirty million, one hundred two thousand, eight hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 223 275 400 440 446 550 880 892 1100 1115 1784 2069 2200 2230 2453 3568 4138 4400 4460 4906 5575 8276 8920 9812 10345 11150 12265 16552 17840 19624 20690 22300 22759 24530 33104 39248 41380 44600 45518 49060 51725 61325 82760 89200 91036 98120 103450 113795 122650 165520 182072 196240 206900 227590 245300 364144 413800 455180 461387 490600 568975 827600 910360 922774 981200 1137950 1820720 1845548 2275900 2306935 3691096 4551800 4613870 5075257 7382192 9103600 9227740 10150514 11534675 18455480 20301028 23069350 25376285 36910960 40602056 46138700 50752570 81204112 92277400 101505140 126881425 184554800 203010280 253762850 406020560 507525700 1015051400 2030102800