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2086323400 = 235274493319
BaseRepresentation
bin111110001011010…
…1100010011001000
312101101210012200001
41330112230103020
513233044322100
6543005052344
7102462312340
oct17426542310
95341705601
102086323400
11980747717
124a28570b4
1327330c9b5
1415b129d20
15c3264d6a
hex7c5ac4c8

2086323400 has 96 divisors (see below), whose sum is σ = 5557680000. Its totient is φ = 713502720.

The previous prime is 2086323383. The next prime is 2086323413. The reversal of 2086323400 is 43236802.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 626941 + ... + 630259.

It is an arithmetic number, because the mean of its divisors is an integer number (57892500).

Almost surely, 22086323400 is an apocalyptic number.

2086323400 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 2086323400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2778840000).

2086323400 is an abundant number, since it is smaller than the sum of its proper divisors (3471356600).

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

2086323400 is a wasteful number, since it uses less digits than its factorization.

2086323400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3791 (or 3782 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The square root of 2086323400 is about 45676.2892538350. The cubic root of 2086323400 is about 1277.7931129154.

The spelling of 2086323400 in words is "two billion, eighty-six million, three hundred twenty-three thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 449 700 898 1400 1796 2245 3143 3319 3592 4490 6286 6638 8980 11225 12572 13276 15715 16595 17960 22450 23233 25144 26552 31430 33190 44900 46466 62860 66380 78575 82975 89800 92932 116165 125720 132760 157150 165950 185864 232330 314300 331900 464660 580825 628600 663800 929320 1161650 1490231 2323300 2980462 4646600 5960924 7451155 10431617 11921848 14902310 20863234 29804620 37255775 41726468 52158085 59609240 74511550 83452936 104316170 149023100 208632340 260790425 298046200 417264680 521580850 1043161700 2086323400