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2124060800 = 2752679907
BaseRepresentation
bin111111010011010…
…1001100010000000
312111000210110122112
41332212221202000
513322224421200
6550433554452
7103431135041
oct17646514200
95430713575
102124060800
1199aa82354
124b3415a28
1327b093714
141621508c8
15c671b535
hex7e9a9880

2124060800 has 96 divisors (see below), whose sum is σ = 5325946320. Its totient is φ = 836858880.

The previous prime is 2124060797. The next prime is 2124060803. The reversal of 2124060800 is 80604212.

It is an interprime number because it is at equal distance from previous prime (2124060797) and next prime (2124060803).

It is not an unprimeable number, because it can be changed into a prime (2124060803) 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, 209447 + ... + 219353.

Almost surely, 22124060800 is an apocalyptic number.

2124060800 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 2124060800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2662973160).

2124060800 is an abundant number, since it is smaller than the sum of its proper divisors (3201885520).

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

2124060800 is an equidigital number, since it uses as much as digits as its factorization.

2124060800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9998 (or 9981 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 2124060800 is about 46087.5341063069. The cubic root of 2124060800 is about 1285.4513597573.

The spelling of 2124060800 in words is "two billion, one hundred twenty-four million, sixty thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 67 80 100 128 134 160 200 268 320 335 400 536 640 670 800 1072 1340 1600 1675 2144 2680 3200 3350 4288 5360 6700 8576 9907 10720 13400 19814 21440 26800 39628 42880 49535 53600 79256 99070 107200 158512 198140 214400 247675 317024 396280 495350 634048 663769 792560 990700 1268096 1327538 1585120 1981400 2655076 3170240 3318845 3962800 5310152 6340480 6637690 7925600 10620304 13275380 15851200 16594225 21240608 26550760 31702400 33188450 42481216 53101520 66376900 84962432 106203040 132753800 212406080 265507600 424812160 531015200 1062030400 2124060800