Search a number
-
+
1436104120 = 2351115720789
BaseRepresentation
bin101010110011001…
…0011010110111000
310201002021122111111
41111212103112320
510420120312440
6354300410104
750405453323
oct12546232670
93632248444
101436104120
11677709310
12340b46934
1319b6acc69
14d8a2d7ba
15861274ea
hex559935b8

1436104120 has 64 divisors (see below), whose sum is σ = 3547605600. Its totient is φ = 518868480.

The previous prime is 1436104093. The next prime is 1436104123. The reversal of 1436104120 is 214016341.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 1436104091 and 1436104100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1436104123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58686 + ... + 79474.

Almost surely, 21436104120 is an apocalyptic number.

1436104120 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 1436104120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1773802800).

1436104120 is an abundant number, since it is smaller than the sum of its proper divisors (2111501480).

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

1436104120 is a wasteful number, since it uses less digits than its factorization.

1436104120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20968 (or 20964 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 1436104120 is about 37895.9644289468. The cubic root of 1436104120 is about 1128.2239361414.

The spelling of 1436104120 in words is "one billion, four hundred thirty-six million, one hundred four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 157 220 314 440 628 785 1256 1570 1727 3140 3454 6280 6908 8635 13816 17270 20789 34540 41578 69080 83156 103945 166312 207890 228679 415780 457358 831560 914716 1143395 1829432 2286790 3263873 4573580 6527746 9147160 13055492 16319365 26110984 32638730 35902603 65277460 71805206 130554920 143610412 179513015 287220824 359026030 718052060 1436104120