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2550120 = 233579269
BaseRepresentation
bin1001101110100101101000
311210120002220
421232211220
51123100440
6130354040
730450516
oct11564550
94716086
102550120
111491a41
12a2b920
136b3961
144a54b6
153558d0
hex26e968

2550120 has 64 divisors (see below), whose sum is σ = 7776000. Its totient is φ = 668928.

The previous prime is 2550101. The next prime is 2550133. The reversal of 2550120 is 210552.

2550120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×25501202 = 13006224028800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2550120.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9346 + ... + 9614.

It is an arithmetic number, because the mean of its divisors is an integer number (121500).

22550120 is an apocalyptic number.

2550120 is a gapful number since it is divisible by the number (20) 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 2550120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3888000).

2550120 is an abundant number, since it is smaller than the sum of its proper divisors (5225880).

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

2550120 is a wasteful number, since it uses less digits than its factorization.

2550120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 2550120 is about 1596.9095152826. The cubic root of 2550120 is about 136.6218638256.

Adding to 2550120 its reverse (210552), we get a palindrome (2760672).

The spelling of 2550120 in words is "two million, five hundred fifty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 79 120 158 237 269 316 395 474 538 632 790 807 948 1076 1185 1345 1580 1614 1896 2152 2370 2690 3160 3228 4035 4740 5380 6456 8070 9480 10760 16140 21251 32280 42502 63753 85004 106255 127506 170008 212510 255012 318765 425020 510024 637530 850040 1275060 2550120