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253381401 = 327213193229
BaseRepresentation
bin11110001101001…
…00101100011001
3122122210002221100
433012210230121
51004331201101
641050502013
76164464200
oct1706445431
9578702840
10253381401
11120033219
1270a34909
1340657830
142591a237
15173a0e86
hexf1a4b19

253381401 has 72 divisors (see below), whose sum is σ = 462887880. Its totient is φ = 132378624.

The previous prime is 253381399. The next prime is 253381417. The reversal of 253381401 is 104183352.

It is a happy number.

253381401 is a `hidden beast` number, since 253 + 3 + 8 + 1 + 401 = 666.

253381401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 25401600 + 227979801 = 5040^2 + 15099^2 .

It is not a de Polignac number, because 253381401 - 21 = 253381399 is a prime.

It is not an unprimeable number, because it can be changed into a prime (253381421) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1106355 + ... + 1106583.

Almost surely, 2253381401 is an apocalyptic number.

253381401 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

253381401 is a deficient number, since it is larger than the sum of its proper divisors (209506479).

253381401 is a wasteful number, since it uses less digits than its factorization.

253381401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 445 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 253381401 is about 15917.9584432175. The cubic root of 253381401 is about 632.7880140393.

The spelling of 253381401 in words is "two hundred fifty-three million, three hundred eighty-one thousand, four hundred one".

Divisors: 1 3 7 9 13 21 39 49 63 91 117 147 193 229 273 441 579 637 687 819 1351 1603 1737 1911 2061 2509 2977 4053 4809 5733 7527 8931 9457 11221 12159 14427 17563 20839 22581 26793 28371 33663 44197 52689 62517 85113 100989 122941 132591 145873 158067 187551 309379 368823 397773 437619 574561 928137 1106469 1312857 1723683 2165653 2784411 4021927 5171049 6496959 12065781 19490877 28153489 36197343 84460467 253381401