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1214100 = 2232521971
BaseRepresentation
bin100101000011010010100
32021200102200
410220122110
5302322400
642004500
713214436
oct4503224
92250380
101214100
1175a198
124a6730
13336804
14238656
1518eb00
hex128694

1214100 has 108 divisors (see below), whose sum is σ = 4062240. Its totient is φ = 302400.

The previous prime is 1214093. The next prime is 1214113. The reversal of 1214100 is 14121.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17065 + ... + 17135.

21214100 is an apocalyptic number.

1214100 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 1214100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2031120).

1214100 is an abundant number, since it is smaller than the sum of its proper divisors (2848140).

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

1214100 is a wasteful number, since it uses less digits than its factorization.

1214100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1214100 is about 1101.8620603324. The cubic root of 1214100 is about 106.6804452687.

Adding to 1214100 its reverse (14121), we get a palindrome (1228221).

The spelling of 1214100 in words is "one million, two hundred fourteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 25 30 36 38 45 50 57 60 71 75 76 90 95 100 114 142 150 171 180 190 213 225 228 284 285 300 342 355 380 426 450 475 570 639 684 710 852 855 900 950 1065 1140 1278 1349 1420 1425 1710 1775 1900 2130 2556 2698 2850 3195 3420 3550 4047 4260 4275 5325 5396 5700 6390 6745 7100 8094 8550 10650 12141 12780 13490 15975 16188 17100 20235 21300 24282 26980 31950 33725 40470 48564 60705 63900 67450 80940 101175 121410 134900 202350 242820 303525 404700 607050 1214100