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2053405368 = 233272582031
BaseRepresentation
bin111101001100100…
…0111101010111000
312022002211210121200
41322121013222320
513201132432433
6535431334200
7101612441400
oct17231075270
95262753550
102053405368
11964103933
12493821360
13269555781
141569db800
15c0411613
hex7a647ab8

2053405368 has 72 divisors (see below), whose sum is σ = 6469285680. Its totient is φ = 586686240.

The previous prime is 2053405351. The next prime is 2053405381. The reversal of 2053405368 is 8635043502.

It is a happy number.

2053405368 is a `hidden beast` number, since 205 + 340 + 53 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 17 ways as a sum of consecutive naturals, for example, 287488 + ... + 294543.

It is an arithmetic number, because the mean of its divisors is an integer number (89851190).

Almost surely, 22053405368 is an apocalyptic number.

2053405368 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2053405368 is an abundant number, since it is smaller than the sum of its proper divisors (4415880312).

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

2053405368 is a wasteful number, since it uses less digits than its factorization.

2053405368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 582057 (or 582043 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 2053405368 is about 45314.5160848044. The cubic root of 2053405368 is about 1271.0371109702.

The spelling of 2053405368 in words is "two billion, fifty-three million, four hundred five thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 582031 1164062 1746093 2328124 3492186 4074217 4656248 5238279 6984372 8148434 10476558 12222651 13968744 16296868 20953116 24445302 28519519 32593736 36667953 41906232 48890604 57039038 73335906 85558557 97781208 114078076 146671812 171117114 228156152 256675671 293343624 342234228 513351342 684468456 1026702684 2053405368