Search a number
-
+
1201413240 = 2332523314323
BaseRepresentation
bin100011110011100…
…0001110001111000
310002201200010010200
41013213001301320
54430030210430
6315114242200
741525562336
oct10747016170
93081603120
101201413240
11567191605
12296426360
13161b9a811
14b57bab56
1570719460
hex479c1c78

1201413240 has 96 divisors (see below), whose sum is σ = 3921624720. Its totient is φ = 318979584.

The previous prime is 1201413233. The next prime is 1201413251. The reversal of 1201413240 is 423141021.

1201413240 is a `hidden beast` number, since 12 + 0 + 1 + 413 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76719 + ... + 91041.

Almost surely, 21201413240 is an apocalyptic number.

1201413240 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 1201413240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1960812360).

1201413240 is an abundant number, since it is smaller than the sum of its proper divisors (2720211480).

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

1201413240 is a wasteful number, since it uses less digits than its factorization.

1201413240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14573 (or 14566 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1201413240 is about 34661.4085114844. The cubic root of 1201413240 is about 1063.0755698572.

Adding to 1201413240 its reverse (423141021), we get a palindrome (1624554261).

The spelling of 1201413240 in words is "one billion, two hundred one million, four hundred thirteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 233 360 466 699 932 1165 1398 1864 2097 2330 2796 3495 4194 4660 5592 6990 8388 9320 10485 13980 14323 16776 20970 27960 28646 41940 42969 57292 71615 83880 85938 114584 128907 143230 171876 214845 257814 286460 343752 429690 515628 572920 644535 859380 1031256 1289070 1718760 2578140 3337259 5156280 6674518 10011777 13349036 16686295 20023554 26698072 30035331 33372590 40047108 50058885 60070662 66745180 80094216 100117770 120141324 133490360 150176655 200235540 240282648 300353310 400471080 600706620 1201413240