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21076200 = 2334521301
BaseRepresentation
bin101000001100…
…1100011101000
31110122210010000
41100121203220
520343414300
62031423000
7344100435
oct120314350
943583100
1021076200
1110995952
127084a60
13449c232
142b28b8c
151cb4c00
hex14198e8

21076200 has 120 divisors (see below), whose sum is σ = 73257030. Its totient is φ = 5616000.

The previous prime is 21076189. The next prime is 21076213. The reversal of 21076200 is 267012.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 7986276 + 13089924 = 2826^2 + 3618^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 15550 + ... + 16850.

Almost surely, 221076200 is an apocalyptic number.

21076200 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 21076200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36628515).

21076200 is an abundant number, since it is smaller than the sum of its proper divisors (52180830).

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

21076200 is a wasteful number, since it uses less digits than its factorization.

21076200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1329 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 21076200 is about 4590.8822681485. The cubic root of 21076200 is about 276.2257132816.

The spelling of 21076200 in words is "twenty-one million, seventy-six thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 27 30 36 40 45 50 54 60 72 75 81 90 100 108 120 135 150 162 180 200 216 225 270 300 324 360 405 450 540 600 648 675 810 900 1080 1301 1350 1620 1800 2025 2602 2700 3240 3903 4050 5204 5400 6505 7806 8100 10408 11709 13010 15612 16200 19515 23418 26020 31224 32525 35127 39030 46836 52040 58545 65050 70254 78060 93672 97575 105381 117090 130100 140508 156120 175635 195150 210762 234180 260200 281016 292725 351270 390300 421524 468360 526905 585450 702540 780600 843048 878175 1053810 1170900 1405080 1756350 2107620 2341800 2634525 3512700 4215240 5269050 7025400 10538100 21076200