Search a number
-
+
117052533 = 3413891249
BaseRepresentation
bin1101111101000…
…01010001110101
322011020212220000
412332201101311
5214431140113
615340501513
72620634013
oct676412165
9264225800
10117052533
1160089334
123324a899
131b334470
141178d8b3
15a422373
hex6fa1475

117052533 has 40 divisors (see below), whose sum is σ = 190575000. Its totient is φ = 71165952.

The previous prime is 117052511. The next prime is 117052583. The reversal of 117052533 is 335250711.

117052533 is a `hidden beast` number, since 11 + 70 + 52 + 533 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 23409 + 117029124 = 153^2 + 10818^2 .

It is not a de Polignac number, because 117052533 - 25 = 117052501 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 117052497 and 117052506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117052583) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 93093 + ... + 94341.

It is an arithmetic number, because the mean of its divisors is an integer number (4764375).

Almost surely, 2117052533 is an apocalyptic number.

117052533 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

117052533 is a deficient number, since it is larger than the sum of its proper divisors (73522467).

117052533 is a wasteful number, since it uses less digits than its factorization.

117052533 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1363 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 27.

The square root of 117052533 is about 10819.0818926561. The cubic root of 117052533 is about 489.1705152640.

The spelling of 117052533 in words is "one hundred seventeen million, fifty-two thousand, five hundred thirty-three".

Divisors: 1 3 9 13 27 39 81 89 117 267 351 801 1053 1157 1249 2403 3471 3747 7209 10413 11241 16237 31239 33723 48711 93717 101169 111161 146133 333483 438399 1000449 1315197 1445093 3001347 4335279 9004041 13005837 39017511 117052533