Search a number
-
+
1553410120 = 235137467607
BaseRepresentation
bin101110010010111…
…0010100001001000
311000021000102002011
41130211302201020
511140133110440
6414050545304
753331524323
oct13445624110
94007012064
101553410120
11727950019
12374298234
131b9aa28b2
1410a4477ba
15915999ea
hex5c972848

1553410120 has 64 divisors (see below), whose sum is σ = 3534036480. Its totient is φ = 614493696.

The previous prime is 1553410099. The next prime is 1553410127. The reversal of 1553410120 is 210143551.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1553410091 and 1553410100.

It is not an unprimeable number, because it can be changed into a prime (1553410127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2558857 + ... + 2559463.

It is an arithmetic number, because the mean of its divisors is an integer number (55219320).

Almost surely, 21553410120 is an apocalyptic number.

1553410120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1553410120 is an abundant number, since it is smaller than the sum of its proper divisors (1980626360).

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

1553410120 is a wasteful number, since it uses less digits than its factorization.

1553410120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222 (or 1218 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 22.

The square root of 1553410120 is about 39413.3241429849. The cubic root of 1553410120 is about 1158.1426181305.

Adding to 1553410120 its reverse (210143551), we get a palindrome (1763553671).

The spelling of 1553410120 in words is "one billion, five hundred fifty-three million, four hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 137 274 467 548 607 685 934 1096 1214 1370 1868 2335 2428 2740 3035 3736 4670 4856 5480 6070 9340 12140 18680 24280 63979 83159 127958 166318 255916 283469 319895 332636 415795 511832 566938 639790 665272 831590 1133876 1279580 1417345 1663180 2267752 2559160 2834690 3326360 5669380 11338760 38835253 77670506 155341012 194176265 310682024 388352530 776705060 1553410120