Search a number
-
+
2055456120 = 233517128801
BaseRepresentation
bin111101010000011…
…1100010101111000
312022020200222201110
41322200330111320
513202144043440
6535543320320
7101636042304
oct17240742570
95266628643
102055456120
11965284673
124944500a0
13269ac3033
14156db2d04
15c06b9080
hex7a83c578

2055456120 has 32 divisors (see below), whose sum is σ = 6166368720. Its totient is φ = 548121600.

The previous prime is 2055456107. The next prime is 2055456127. The reversal of 2055456120 is 216545502.

2055456120 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×20554561202 = 8449799722490908800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2055456127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8564281 + ... + 8564520.

Almost surely, 22055456120 is an apocalyptic number.

2055456120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2055456120 is an abundant number, since it is smaller than the sum of its proper divisors (4110912600).

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

2055456120 is a wasteful number, since it uses less digits than its factorization.

2055456120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17128815 (or 17128811 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 2055456120 is about 45337.1384187401. The cubic root of 2055456120 is about 1271.4601017544.

The spelling of 2055456120 in words is "two billion, fifty-five million, four hundred fifty-six thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 17128801 34257602 51386403 68515204 85644005 102772806 137030408 171288010 205545612 256932015 342576020 411091224 513864030 685152040 1027728060 2055456120