Search a number
-
+
1430100 = 2232527227
BaseRepresentation
bin101011101001001010100
32200122201200
411131021110
5331230400
650352500
715104250
oct5351124
92618650
101430100
11897501
1258b730
133b0c19
14293260
151d3b00
hex15d254

1430100 has 108 divisors (see below), whose sum is σ = 5145504. Its totient is φ = 325440.

The previous prime is 1430089. The next prime is 1430119. The reversal of 1430100 is 10341.

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, 6187 + ... + 6413.

21430100 is an apocalyptic number.

1430100 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 1430100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2572752).

1430100 is an abundant number, since it is smaller than the sum of its proper divisors (3715404).

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

1430100 is a wasteful number, since it uses less digits than its factorization.

1430100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 1430100 is about 1195.8678856797. The cubic root of 1430100 is about 112.6649432335.

Adding to 1430100 its reverse (10341), we get a palindrome (1440441).

The spelling of 1430100 in words is "one million, four hundred thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 28 30 35 36 42 45 50 60 63 70 75 84 90 100 105 126 140 150 175 180 210 225 227 252 300 315 350 420 450 454 525 630 681 700 900 908 1050 1135 1260 1362 1575 1589 2043 2100 2270 2724 3150 3178 3405 4086 4540 4767 5675 6300 6356 6810 7945 8172 9534 10215 11350 13620 14301 15890 17025 19068 20430 22700 23835 28602 31780 34050 39725 40860 47670 51075 57204 68100 71505 79450 95340 102150 119175 143010 158900 204300 238350 286020 357525 476700 715050 1430100