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1242900 = 2232521381
BaseRepresentation
bin100101111011100010100
32100010221100
410233130110
5304233100
642350100
713364421
oct4573424
92303840
101242900
1177989a
124bb330
13346959
14244d48
15198400
hex12f714

1242900 has 54 divisors (see below), whose sum is σ = 3898622. Its totient is φ = 331200.

The previous prime is 1242893. The next prime is 1242929. The reversal of 1242900 is 92421.

1242900 = T105 + T106 + ... + T204.

It can be written as a sum of positive squares in 3 ways, for example, as 63504 + 1179396 = 252^2 + 1086^2 .

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

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 210 + ... + 1590.

21242900 is an apocalyptic number.

1242900 is a gapful number since it is divisible by the number (10) 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 1242900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1949311).

1242900 is an abundant number, since it is smaller than the sum of its proper divisors (2655722).

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

1242900 is a wasteful number, since it uses less digits than its factorization.

1242900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1401 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1242900 is about 1114.8542505637. The cubic root of 1242900 is about 107.5173939765.

The spelling of 1242900 in words is "one million, two hundred forty-two thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 1381 2762 4143 5524 6905 8286 12429 13810 16572 20715 24858 27620 34525 41430 49716 62145 69050 82860 103575 124290 138100 207150 248580 310725 414300 621450 1242900