Search a number
-
+
1203202140 = 2235724111887
BaseRepresentation
bin100011110110111…
…0110100001011100
310002212001000001020
41013231312201130
54431004432030
6315220444140
741550022650
oct10755664134
93085030036
101203202140
115681a3638
12296b49650
13162375b3a
14b5b24a60
157096e510
hex47b7685c

1203202140 has 96 divisors (see below), whose sum is σ = 3866548224. Its totient is φ = 273853440.

The previous prime is 1203202127. The next prime is 1203202171. The reversal of 1203202140 is 412023021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95277 + ... + 107163.

It is an arithmetic number, because the mean of its divisors is an integer number (40276544).

Almost surely, 21203202140 is an apocalyptic number.

1203202140 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 1203202140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1933274112).

1203202140 is an abundant number, since it is smaller than the sum of its proper divisors (2663346084).

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

1203202140 is a wasteful number, since it uses less digits than its factorization.

1203202140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12147 (or 12145 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 1203202140 is about 34687.2042690096. The cubic root of 1203202140 is about 1063.6029467583.

Adding to 1203202140 its reverse (412023021), we get a palindrome (1615225161).

The spelling of 1203202140 in words is "one billion, two hundred three million, two hundred two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 241 420 482 723 964 1205 1446 1687 2410 2892 3374 3615 4820 5061 6748 7230 8435 10122 11887 14460 16870 20244 23774 25305 33740 35661 47548 50610 59435 71322 83209 101220 118870 142644 166418 178305 237740 249627 332836 356610 416045 499254 713220 832090 998508 1248135 1664180 2496270 2864767 4992540 5729534 8594301 11459068 14323835 17188602 20053369 28647670 34377204 40106738 42971505 57295340 60160107 80213476 85943010 100266845 120320214 171886020 200533690 240640428 300800535 401067380 601601070 1203202140