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1553200040 = 23573791433
BaseRepresentation
bin101110010010011…
…1111001110101000
311000020121201220102
41130210333032220
511140104400130
6414042244532
753326661000
oct13444771650
94006551812
101553200040
117278171a7
123741b6748
131b9a2b0a2
1410a3d1000
1591557645
hex5c93f3a8

1553200040 has 128 divisors (see below), whose sum is σ = 4129920000. Its totient is φ = 525417984.

The previous prime is 1553200003. The next prime is 1553200063. The reversal of 1553200040 is 400023551.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1553199985 and 1553200021.

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, 1083164 + ... + 1084596.

It is an arithmetic number, because the mean of its divisors is an integer number (32265000).

Almost surely, 21553200040 is an apocalyptic number.

1553200040 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 1553200040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2064960000).

1553200040 is an abundant number, since it is smaller than the sum of its proper divisors (2576719960).

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

1553200040 is a wasteful number, since it uses less digits than its factorization.

1553200040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1544 (or 1526 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 1553200040 is about 39410.6589642954. The cubic root of 1553200040 is about 1158.0904074990.

Adding to 1553200040 its reverse (400023551), we get a palindrome (1953223591).

The spelling of 1553200040 in words is "one billion, five hundred fifty-three million, two hundred thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 79 98 140 158 196 245 280 316 343 392 395 490 553 632 686 790 980 1106 1372 1433 1580 1715 1960 2212 2744 2765 2866 3160 3430 3871 4424 5530 5732 6860 7165 7742 10031 11060 11464 13720 14330 15484 19355 20062 22120 27097 28660 30968 38710 40124 50155 54194 57320 70217 77420 80248 100310 108388 113207 135485 140434 154840 200620 216776 226414 270970 280868 351085 401240 452828 491519 541940 561736 566035 702170 792449 905656 983038 1083880 1132070 1404340 1584898 1966076 2264140 2457595 2808680 3169796 3932152 3962245 4528280 4915190 5547143 6339592 7924490 9830380 11094286 15848980 19660760 22188572 27735715 31697960 38830001 44377144 55471430 77660002 110942860 155320004 194150005 221885720 310640008 388300010 776600020 1553200040