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1402200 = 2332521941
BaseRepresentation
bin101010110010101011000
32122020110100
411112111120
5324332300
650015400
714630022
oct5262530
92566410
101402200
11878548
12577560
133a1307
14287012
151ca700
hex156558

1402200 has 144 divisors (see below), whose sum is σ = 5077800. Its totient is φ = 345600.

The previous prime is 1402169. The next prime is 1402201. The reversal of 1402200 is 22041.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1402201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 34180 + ... + 34220.

21402200 is an apocalyptic number.

1402200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1402200 is the 684-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1402200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2538900).

1402200 is an abundant number, since it is smaller than the sum of its proper divisors (3675600).

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

1402200 is a wasteful number, since it uses less digits than its factorization.

1402200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 1402200 is about 1184.1452613594. The cubic root of 1402200 is about 111.9274615329.

Adding to 1402200 its reverse (22041), we get a palindrome (1424241).

The spelling of 1402200 in words is "one million, four hundred two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 25 30 36 38 40 41 45 50 57 60 72 75 76 82 90 95 100 114 120 123 150 152 164 171 180 190 200 205 225 228 246 285 300 328 342 360 369 380 410 450 456 475 492 570 600 615 684 738 760 779 820 855 900 950 984 1025 1140 1230 1368 1425 1476 1558 1640 1710 1800 1845 1900 2050 2280 2337 2460 2850 2952 3075 3116 3420 3690 3800 3895 4100 4275 4674 4920 5700 6150 6232 6840 7011 7380 7790 8200 8550 9225 9348 11400 11685 12300 14022 14760 15580 17100 18450 18696 19475 23370 24600 28044 31160 34200 35055 36900 38950 46740 56088 58425 70110 73800 77900 93480 116850 140220 155800 175275 233700 280440 350550 467400 701100 1402200