Search a number
-
+
2027075424 = 253114146819
BaseRepresentation
bin111100011010010…
…1011011101100000
312020021022002201120
41320310223131200
513122412403144
6533051132240
7101142566613
oct17064533540
95207262646
102027075424
1195025a850
12486a44080
13263c6711a
1415330617a
15bce5ee19
hex78d2b760

2027075424 has 96 divisors (see below), whose sum is σ = 5946514560. Its totient is φ = 599270400.

The previous prime is 2027075387. The next prime is 2027075441. The reversal of 2027075424 is 4245707202.

It is a happy number.

2027075424 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19887 + ... + 66705.

It is an arithmetic number, because the mean of its divisors is an integer number (61942860).

Almost surely, 22027075424 is an apocalyptic number.

2027075424 is a gapful number since it is divisible by the number (24) 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 2027075424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2973257280).

2027075424 is an abundant number, since it is smaller than the sum of its proper divisors (3919439136).

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

2027075424 is a wasteful number, since it uses less digits than its factorization.

2027075424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46884 (or 46876 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 33.

The square root of 2027075424 is about 45023.0543610715. The cubic root of 2027075424 is about 1265.5810677584.

The spelling of 2027075424 in words is "two billion, twenty-seven million, seventy-five thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 41 44 48 66 82 88 96 123 132 164 176 246 264 328 352 451 492 528 656 902 984 1056 1312 1353 1804 1968 2706 3608 3936 5412 7216 10824 14432 21648 43296 46819 93638 140457 187276 280914 374552 515009 561828 749104 1030018 1123656 1498208 1545027 1919579 2060036 2247312 3090054 3839158 4120072 4494624 5758737 6180108 7678316 8240144 11517474 12360216 15356632 16480288 21115369 23034948 24720432 30713264 42230738 46069896 49440864 61426528 63346107 84461476 92139792 126692214 168922952 184279584 253384428 337845904 506768856 675691808 1013537712 2027075424