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1205542140 = 2235113749367
BaseRepresentation
bin100011111011011…
…0001110011111100
310010000102212220220
41013312301303330
54432104322030
6315342541340
741605640055
oct10766616374
93100385826
101205542140
11569551720
12297897850
131629b4c5a
14b617372c
1570c82a10
hex47db1cfc

1205542140 has 96 divisors (see below), whose sum is σ = 3781983744. Its totient is φ = 284348160.

The previous prime is 1205542139. The next prime is 1205542159. The reversal of 1205542140 is 412455021.

It is a self number, because there is not a number n which added to its sum of digits gives 1205542140.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 264 + ... + 49103.

It is an arithmetic number, because the mean of its divisors is an integer number (39395664).

Almost surely, 21205542140 is an apocalyptic number.

1205542140 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 1205542140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1890991872).

1205542140 is an abundant number, since it is smaller than the sum of its proper divisors (2576441604).

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

1205542140 is a wasteful number, since it uses less digits than its factorization.

1205542140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49427 (or 49425 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 1205542140 is about 34720.9179026131. The cubic root of 1205542140 is about 1064.2920022708.

Adding to 1205542140 its reverse (412455021), we get a palindrome (1617997161).

It can be divided in two parts, 1205 and 542140, that added together give a palindrome (543345).

The spelling of 1205542140 in words is "one billion, two hundred five million, five hundred forty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 37 44 55 60 66 74 110 111 132 148 165 185 220 222 330 370 407 444 555 660 740 814 1110 1221 1628 2035 2220 2442 4070 4884 6105 8140 12210 24420 49367 98734 148101 197468 246835 296202 493670 543037 592404 740505 987340 1086074 1481010 1629111 1826579 2172148 2715185 2962020 3258222 3653158 5430370 5479737 6516444 7306316 8145555 9132895 10860740 10959474 16291110 18265790 20092369 21918948 27398685 32582220 36531580 40184738 54797370 60277107 80369476 100461845 109594740 120554214 200923690 241108428 301385535 401847380 602771070 1205542140